Discreteness of volumes of divisors on Calabi-Yau type varieties | Paper Citation Record

Observation 9843ba8b-9cee-40d6-84f7-2d3f83ea5623 · outbound

This paper cites Abramovich and K.

Discreteness of volumes of divisors on Calabi-Yau type varieties Abramovich and K

Reference 1

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Observation a695b02d-7b0d-4972-86cc-4d5f86a0dcd0 · outbound

This paper cites Alexeev, C.

Discreteness of volumes of divisors on Calabi-Yau type varieties Alexeev, C

Reference 2

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Observation 3c7f113e-085c-4d2d-858f-77704e7c1ef1 · outbound

This paper cites Ambro, Quasi-log varieties, Tr.

Discreteness of volumes of divisors on Calabi-Yau type varieties Ambro, Quasi-log varieties, Tr

Reference 3

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Observation bcfcfa33-a9ea-453f-8d23-c6c60042d08d · outbound

This paper cites Ambro, The moduli b-divisor of an lc-trivial fibration, Compos.

Discreteness of volumes of divisors on Calabi-Yau type varieties Ambro, The moduli b-divisor of an lc-trivial fibration, Compos

Reference 4

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Observation 32ef02bf-d68c-4ed5-be5b-34970fed7605 · outbound

This paper cites Birkar, Ascending chain condition for log canonical thresholds and termination of log flips, Duke Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, Ascending chain condition for log canonical thresholds and termination of log flips, Duke Math

Reference 5

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Observation b1c6650a-a3e2-4466-b1d1-1283ebbcd7b9 · outbound

This paper cites Birkar, Existence of log canonical flips and a special LMMP, Pub.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, Existence of log canonical flips and a special LMMP, Pub

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.802599Z

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Observation b73b4083-1746-4474-8885-f2f13b37928b · outbound

This paper cites Birkar, On existence of log minimal models and weak Zariski decompositions, Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, On existence of log minimal models and weak Zariski decompositions, Math

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.806052Z

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Observation 5da80804-6bc1-4e67-8fe7-be7428c7c3c6 · outbound

This paper cites Birkar, Anti-pluricanonical systems on Fano varieties.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, Anti-pluricanonical systems on Fano varieties

Reference 8

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Observation 577828a3-ba34-4c4b-acec-b521d6c2a4ee · outbound

This paper cites Generalised pairs in birational geometry.

Discreteness of volumes of divisors on Calabi-Yau type varieties Generalised pairs in birational geometry

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.865064Z

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Observation 238af5b6-a793-4c2f-a887-6d2ce77c5ec0 · outbound

This paper cites On connectedness of non-klt loci of singularities of pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties On connectedness of non-klt loci of singularities of pairs

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.851938Z

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Observation 1583aa16-7ce0-4796-9e5b-cf3988224530 · outbound

This paper cites Birkar, Singularities of linear systems and boundedness of Fano varieties, Ann.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, Singularities of linear systems and boundedness of Fano varieties, Ann

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.819195Z

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Observation 97c626ac-fd1e-4f30-ba55-58f40aa2b072 · outbound

This paper cites Boundedness and volume of generalised pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties Boundedness and volume of generalised pairs

Reference 12

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Observation 61f32065-c911-4d1c-8870-820a6de1a7f1 · outbound

This paper cites Birkar, Geometry of polarised varieties, Pub.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, Geometry of polarised varieties, Pub

Reference 13

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Observation a8bfe8f7-0d18-45ce-b1e1-d01d2da9d94d · outbound

This paper cites Birkar, Singularities on Fano fibrations and beyond, arXiv: 2305.18770v1.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, Singularities on Fano fibrations and beyond, arXiv: 2305.18770v1

Reference 14

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Observation b16f4053-f10d-44f9-9273-c31067abd96e · outbound

This paper cites Birkar, Boundedness of Fano type fibrations , Ann.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, Boundedness of Fano type fibrations , Ann

Reference 15

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Observation d4906b7e-f0a5-4e17-b9bb-b808539c5e7a · outbound

This paper cites Birkar, P.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar, P

Reference 16

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Observation 2b61cd8d-d13b-4d5a-b9e2-ba9f78a8ba5c · outbound

This paper cites Boundedness of elliptic Calabi-Yau varieties with a rational section.

Discreteness of volumes of divisors on Calabi-Yau type varieties Boundedness of elliptic Calabi-Yau varieties with a rational section

Reference 17

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Observation efdae5ed-e7d9-42ba-97d9-8efb64a9519e · outbound

This paper cites Birkar and Z.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar and Z

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.840447Z

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Observation f59d7e2e-b3e4-4b16-a642-5ce6ce244a04 · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 19

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Observation 4fbe5968-f75d-41ab-9aea-f62d37168083 · outbound

This paper cites Birkar and D.-Q.

Discreteness of volumes of divisors on Calabi-Yau type varieties Birkar and D.-Q

Reference 20

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Observation e073e182-a484-4ad1-8919-067b01d267b6 · outbound

This paper cites Math, 378 (2021), 107541.

Discreteness of volumes of divisors on Calabi-Yau type varieties Math, 378 (2021), 107541

Reference 21

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Observation 317bfadc-afce-47c8-adf8-84602ff6f13c · outbound

This paper cites Boundedness of $n$-complements for generalized pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties Boundedness of $n$-complements for generalized pairs

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.736410Z

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Observation 07682883-6da8-4a05-8bb5-0ff8fe80ce9d · outbound

This paper cites On generalized minimal log discrepancy.

Discreteness of volumes of divisors on Calabi-Yau type varieties On generalized minimal log discrepancy

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.723719Z

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Observation 7ce33fbe-9037-4b50-920f-d27a00da45d2 · outbound

This paper cites Chen and J.

Discreteness of volumes of divisors on Calabi-Yau type varieties Chen and J

Reference 24

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Observation 1d1943c9-3e1b-4b44-a415-793bff8a02a3 · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 25

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Observation e3b6d7e6-3ffb-4d3e-bfdd-bad649aea521 · outbound

This paper cites On the termination of flips for log canonical generalized pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties On the termination of flips for log canonical generalized pairs

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.709953Z

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Observation f64fae6b-6f59-400e-87d3-4941eb1c65d2 · outbound

This paper cites Chen and Q.

Discreteness of volumes of divisors on Calabi-Yau type varieties Chen and Q

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.867191Z

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Observation 8022eea2-5ee5-4bf3-a658-47a91ae9acfa · outbound

This paper cites Choi, The geography of log models and its applications, PhD Thesis, Johns Hopkins University (2008).

Discreteness of volumes of divisors on Calabi-Yau type varieties Choi, The geography of log models and its applications, PhD Thesis, Johns Hopkins University (2008)

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.870112Z

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Observation 97298b29-6fe4-4ccf-a351-bf24a70bf2ac · outbound

This paper cites Filipazzi, Boundedness of Log Canonical Surface Generalized Polarized Pairs, Taiwanese J.

Discreteness of volumes of divisors on Calabi-Yau type varieties Filipazzi, Boundedness of Log Canonical Surface Generalized Polarized Pairs, Taiwanese J

Reference 29

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Observation 0f556123-97aa-49d5-8ec5-72586a87a04b · outbound

This paper cites On a generalized canonical bundle formula and generalized adjunction.

Discreteness of volumes of divisors on Calabi-Yau type varieties On a generalized canonical bundle formula and generalized adjunction

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.696178Z

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Observation 50b8dd8e-a8da-4c5b-8d0e-d65f1f3e10c0 · outbound

This paper cites Restricted volumes and base loci of linear series.

Discreteness of volumes of divisors on Calabi-Yau type varieties Restricted volumes and base loci of linear series

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.878983Z

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Observation f18fbef5-e896-46da-a5f7-f37cdc7d2f70 · outbound

This paper cites On the boundedness of $n$-folds with $\kappa(X)=n-1$.

Discreteness of volumes of divisors on Calabi-Yau type varieties On the boundedness of $n$-folds with $\kappa(X)=n-1$

Reference 32

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Observation 1d4b1c5b-0eb1-4032-ba03-8817c5738120 · outbound

This paper cites Invariance of Plurigenera and boundedness for Generalized Pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties Invariance of Plurigenera and boundedness for Generalized Pairs

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.673279Z

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Observation 9d48faa9-a48d-4d31-a850-560f32a94618 · outbound

This paper cites On the connectedness principle and dual complexes for generalized pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties On the connectedness principle and dual complexes for generalized pairs

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.659295Z

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Observation 2d9a6bed-a205-4310-973a-98314308d6eb · outbound

This paper cites Connectedness principle for $3$-folds in characteristic $p>5$.

Discreteness of volumes of divisors on Calabi-Yau type varieties Connectedness principle for $3$-folds in characteristic $p>5$

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.646502Z

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Observation 0eb7bec6-a1b7-4fa5-bf2b-78118324ced7 · outbound

This paper cites Fujita, Approximating Zariski decomposition of big line bundles, Kodai Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujita, Approximating Zariski decomposition of big line bundles, Kodai Math

Reference 36

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Observation a9483f1c-b321-4e1a-abfe-a44db75222d4 · outbound

This paper cites Fujino, Termination of 4 -fold canonical flips, Publ.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujino, Termination of 4 -fold canonical flips, Publ

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.897333Z

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Observation 4d687050-b8cc-4cc0-9662-e381397ee3e0 · outbound

This paper cites Termination of 4 -fold canonical flips.

Discreteness of volumes of divisors on Calabi-Yau type varieties Termination of 4 -fold canonical flips

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.900235Z

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Observation 3d360beb-ee03-414b-b419-462be8f87069 · outbound

This paper cites Fujino, On Kawamata’s theorem, Classification of Algebraic Varieties, EMS Ser.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujino, On Kawamata’s theorem, Classification of Algebraic Varieties, EMS Ser

Reference 39

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Observation 6f1fc199-115f-419e-80fe-af516b8afd24 · outbound

This paper cites Fujino, Foundations of the minimal model program, MSJ Memoirs, 35.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujino, Foundations of the minimal model program, MSJ Memoirs, 35

Reference 40

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Observation 2fa9567e-7d01-4d21-bdd8-5fd209330b2a · outbound

This paper cites Fujino, Base point free theorems: saturation, B-divisors, and canonical bundle formula, Algebra Number Theory 6 (2012), no.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujino, Base point free theorems: saturation, B-divisors, and canonical bundle formula, Algebra Number Theory 6 (2012), no

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.908968Z

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Observation 6b05744e-8862-4f08-8040-6de04ebb4c37 · outbound

This paper cites Fujino, A transcendental approach to Koll\'ar’s injectivity theorem II, J.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujino, A transcendental approach to Koll\'ar’s injectivity theorem II, J

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.911891Z

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Observation 4e88d3fb-d1b9-4230-8b40-162842610027 · outbound

This paper cites Fundamental properties of basic slc-trivial fibrations.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fundamental properties of basic slc-trivial fibrations

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.633160Z

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Observation beb15de3-b0b3-4e1e-a094-49213d44638e · outbound

This paper cites Corrigendum: On subadditivity of the logarithmic Kodaira dimension.

Discreteness of volumes of divisors on Calabi-Yau type varieties Corrigendum: On subadditivity of the logarithmic Kodaira dimension

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.620812Z

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Observation c5759cf5-f2c3-4a72-98b3-d8d15ca7b151 · outbound

This paper cites Cone theorem and Mori hyperbolicity.

Discreteness of volumes of divisors on Calabi-Yau type varieties Cone theorem and Mori hyperbolicity

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.607958Z

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Observation 470b4325-6ffb-43f4-9edb-308e864e8696 · outbound

This paper cites Fujino and Y.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujino and Y

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.923915Z

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Observation f8804bbd-09e3-48ec-8af0-e504352dfcb8 · outbound

This paper cites Existence of log canonical modifications and its applications.

Discreteness of volumes of divisors on Calabi-Yau type varieties Existence of log canonical modifications and its applications

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.595273Z

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Observation 1fd3b397-4948-48d7-8117-a606ab37dc07 · outbound

This paper cites Fulger, J.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fulger, J

Reference 48

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Observation 36750b76-b9e9-4998-9f8d-ad1024770980 · outbound

This paper cites Fujino and S.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fujino and S

Reference 49

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Observation de11063a-7218-4a30-8189-d8075f81a45f · outbound

This paper cites Log canonical $3$-fold complements.

Discreteness of volumes of divisors on Calabi-Yau type varieties Log canonical $3$-fold complements

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.583117Z

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Observation 1fece2c0-ae3d-4087-9f39-4a10509c900c · outbound

This paper cites Fukuda, On base point free theorem, Kodai Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Fukuda, On base point free theorem, Kodai Math

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.938864Z

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Observation 7b06e7a2-5d50-4635-99ef-fa7eb473527c · outbound

This paper cites Gongyo, On the minimal model theory for dlt pairs of numerical Kodaira dimension zero, Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Gongyo, On the minimal model theory for dlt pairs of numerical Kodaira dimension zero, Math

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.941704Z

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Observation c55a9656-54f7-4b03-905b-f34ca800bb85 · outbound

This paper cites Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique : IV.

Discreteness of volumes of divisors on Calabi-Yau type varieties Grothendieck, \'El\'ements de g\'eom\'etrie alg\'ebrique : IV

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.944550Z

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Observation 2d346eaa-6eef-41b2-927f-06355fee3b56 · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 54

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Observation 88ff4229-c2c1-48b3-b18b-8fefa04ddc4c · outbound

This paper cites Existence of flips for generalized lc pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties Existence of flips for generalized lc pairs

Reference 55

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Observation 1e12bea1-44aa-4208-a490-dd903202298a · outbound

This paper cites ACC for minimal log discrepancies of terminal threefolds.

Discreteness of volumes of divisors on Calabi-Yau type varieties ACC for minimal log discrepancies of terminal threefolds

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.561802Z

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Observation 5c1cff50-5fae-4068-b58d-7aaebb7434e1 · outbound

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Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 57

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Observation 04d773cb-e674-4089-9b52-c8c2715d0b8a · outbound

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Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 58

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Observation ec622e22-ba77-43ec-94ab-4689bf8c2e9d · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.961618Z

Source-reported events for the cited work

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Observation 1982e314-8c69-4328-8462-e4a3643f2bb9 · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.964325Z

Source-reported events for the cited work

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Observation b3272d38-50d3-433b-a46e-3856e1fd233c · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.966926Z

Source-reported events for the cited work

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Observation ce37965d-16e6-47bc-af45-7a27fdd53fe4 · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.969605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5877d832-5c50-49f5-b8ad-f46da2135dfb · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.972276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95189ff6-a896-4c71-9cb1-04ea7a2a6a13 · outbound

This paper cites an unresolved cited work.

Discreteness of volumes of divisors on Calabi-Yau type varieties Unresolved cited work

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.975039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3609a91e-6ca8-466b-899e-993e50cd8b8a · outbound

This paper cites Weak Zariski decompositions and log terminal models for generalized polarized pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties Weak Zariski decompositions and log terminal models for generalized polarized pairs

Reference 65

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.549849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5eccdf4d-36ec-43fa-b8be-7f732839cc59 · outbound

This paper cites Han and Z.

Discreteness of volumes of divisors on Calabi-Yau type varieties Han and Z

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.980931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c861701d-3589-46d1-83da-a49d0f87b101 · outbound

This paper cites Han and Z.

Discreteness of volumes of divisors on Calabi-Yau type varieties Han and Z

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.983723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3d89b0d-3962-48fa-92bd-6b0af5ec760b · outbound

This paper cites Effective birationality for sub-pairs with real coefficients.

Discreteness of volumes of divisors on Calabi-Yau type varieties Effective birationality for sub-pairs with real coefficients

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.537859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 902d84c0-f951-4858-8986-0498715c1331 · outbound

This paper cites On a generalized canonical bundle formula for generically finite morphisms.

Discreteness of volumes of divisors on Calabi-Yau type varieties On a generalized canonical bundle formula for generically finite morphisms

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.511913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3074892a-8c91-4402-923f-005390a98486 · outbound

This paper cites Han and W.

Discreteness of volumes of divisors on Calabi-Yau type varieties Han and W

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.995344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70d1ebeb-7299-44cd-991d-32540b82e3fc · outbound

This paper cites Boundedness in general type MMP.

Discreteness of volumes of divisors on Calabi-Yau type varieties Boundedness in general type MMP

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:48.998316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd5a569f-d157-4ffc-b473-866377d3819c · outbound

This paper cites Hartshorne, Algebraic Geometry, Springer New York, NY.(1977).

Discreteness of volumes of divisors on Calabi-Yau type varieties Hartshorne, Algebraic Geometry, Springer New York, NY.(1977)

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.001735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f4cbe7c-02b6-4336-b635-a788e95035d5 · outbound

This paper cites Hashizume, Minimal model theory for relatively trivial log canonical pairs, Ann.

Discreteness of volumes of divisors on Calabi-Yau type varieties Hashizume, Minimal model theory for relatively trivial log canonical pairs, Ann

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.004879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5ef8d6b-5678-4c6a-bad1-26b951b1826b · outbound

This paper cites Hashizume, Remarks on special kinds of the relative log minimal model program, Manuscripta Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Hashizume, Remarks on special kinds of the relative log minimal model program, Manuscripta Math

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.007803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ddaa9ff-536f-4ffe-a9d3-ef3c49559a06 · outbound

This paper cites Finiteness of log abundant log canonical pairs in log minimal model program with scaling.

Discreteness of volumes of divisors on Calabi-Yau type varieties Finiteness of log abundant log canonical pairs in log minimal model program with scaling

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.010585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 847b913c-5e7a-4c50-943e-1fff65ac906a · outbound

This paper cites Non-vanishing theorem for generalized log canonical pairs with a polarization.

Discreteness of volumes of divisors on Calabi-Yau type varieties Non-vanishing theorem for generalized log canonical pairs with a polarization

Reference 77

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.478425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 60e199f8-2135-495b-bb46-855fb3da301e · outbound

This paper cites Hashizume and Z.

Discreteness of volumes of divisors on Calabi-Yau type varieties Hashizume and Z

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.016599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bc2fc05-f265-489e-9570-456ad1988048 · outbound

This paper cites ACC for minimal log discrepancies of exceptional singularities.

Discreteness of volumes of divisors on Calabi-Yau type varieties ACC for minimal log discrepancies of exceptional singularities

Reference 79

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.525005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e93eae87-3345-4bc2-8854-977c9d3ff103 · outbound

This paper cites Log abundance of the moduli b-divisors of lc-trivial fibrations.

Discreteness of volumes of divisors on Calabi-Yau type varieties Log abundance of the moduli b-divisors of lc-trivial fibrations

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.022173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94e87f1d-1aaf-4b75-b1c3-7259a8f4ef99 · outbound

This paper cites An abundance theorem for generalised pairs.

Discreteness of volumes of divisors on Calabi-Yau type varieties An abundance theorem for generalised pairs

Reference 81

Resolution: verified exact; local_arxiv, observed 2026-08-05T23:45:49.456847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0861223c-378f-41bf-91ab-4a6932ebf5b4 · outbound

This paper cites Ishii, Introduction to Singularities, 2nd ed, Springer Japan KK, part of Springer Nature (2018).

Discreteness of volumes of divisors on Calabi-Yau type varieties Ishii, Introduction to Singularities, 2nd ed, Springer Japan KK, part of Springer Nature (2018)

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.028578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 709cc4f8-e81f-40d2-9b4c-71e8a2c27767 · outbound

This paper cites Algebraic Geom.

Discreteness of volumes of divisors on Calabi-Yau type varieties Algebraic Geom

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.031372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76b10817-c6a2-4677-b03b-c1ebaa6feaf4 · outbound

This paper cites Jiao, On the boundedness of canonical models, arXiv: 2103.13609v1.

Discreteness of volumes of divisors on Calabi-Yau type varieties Jiao, On the boundedness of canonical models, arXiv: 2103.13609v1

Reference 84

Resolution: verified exact; raw_fallback, observed 2026-08-05T23:45:49.444306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a15e2180-632b-41d5-9412-10cb408c8380 · outbound

This paper cites 2, 545-567.

Discreteness of volumes of divisors on Calabi-Yau type varieties 2, 545-567

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.037124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f188db39-21ee-4d8e-abc9-206df9e5d9d8 · outbound

This paper cites Jiang, J.

Discreteness of volumes of divisors on Calabi-Yau type varieties Jiang, J

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.039880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e34886d7-cceb-478d-b71b-090fb377520e · outbound

This paper cites Kawamata, The cone of curves of algebraic varieties, Ann.

Discreteness of volumes of divisors on Calabi-Yau type varieties Kawamata, The cone of curves of algebraic varieties, Ann

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.042626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5292e5af-105c-42ea-88ee-13508434022b · outbound

This paper cites Kawamata, On the plurigenera of minimal algebraic 3-folds with K 0 , Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Kawamata, On the plurigenera of minimal algebraic 3-folds with K 0 , Math

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.045290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a746b276-3ba4-46e1-ab44-72dc23ce6619 · outbound

This paper cites Kawamata, Termination of log flips for algebraic 3 -folds, Internat.

Discreteness of volumes of divisors on Calabi-Yau type varieties Kawamata, Termination of log flips for algebraic 3 -folds, Internat

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.048377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b66d5ef2-dc77-4d4b-a1ba-7b8dc466dd73 · outbound

This paper cites Kawamata, Subadjunction of log canonical divisors, II, Amer.

Discreteness of volumes of divisors on Calabi-Yau type varieties Kawamata, Subadjunction of log canonical divisors, II, Amer

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.051125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de62fa05-3abe-4343-a477-2fe5a2ddf25a · outbound

This paper cites Kawamata, Variation of mixed Hodge structures and the positivity for algebraic fiber spaces, Advanced Studies in Pure Mathematics, 65 (2015), 27--57.

Discreteness of volumes of divisors on Calabi-Yau type varieties Kawamata, Variation of mixed Hodge structures and the positivity for algebraic fiber spaces, Advanced Studies in Pure Mathematics, 65 (2015), 27--57

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.053649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d9aa204-f8d6-4fbb-a9c2-d465f4283216 · outbound

This paper cites Kawamata, K.

Discreteness of volumes of divisors on Calabi-Yau type varieties Kawamata, K

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-05T23:45:49.056497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 208b1a0d-5ad2-4418-8da7-0353989ac336 · outbound

This paper cites Koll\'ar, The cone theorem, Ann.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\'ar, The cone theorem, Ann

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.338970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation acbbfd22-2409-452f-926e-bdbecc698a58 · outbound

This paper cites Koll\'ar, Effective base point freeness, Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\'ar, Effective base point freeness, Math

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.330563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 16c6998e-5cea-4a6a-a45e-d353fd5f41e8 · outbound

This paper cites Koll\'ar, Rational Curves on Algebraic Varieties.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\'ar, Rational Curves on Algebraic Varieties

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.321891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e29f4a23-3410-40ef-9687-f9a1969e63c1 · outbound

This paper cites Koll\'ar, “Kodaira’s canonical bundle formula and adjunction.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\'ar, “Kodaira’s canonical bundle formula and adjunction

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.312862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b01e6b0d-ffb2-4056-9471-c5f5300142d0 · outbound

This paper cites Koll\' a r, Singularities of the minimal model program, Cambridge Tracts in Math.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\' a r, Singularities of the minimal model program, Cambridge Tracts in Math

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.303431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1b522996-68c7-4e41-beee-2e29811690bc · outbound

This paper cites Koll\' a r, Families of Varieties of General Type, Cambridge Univ.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\' a r, Families of Varieties of General Type, Cambridge Univ

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.294299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7daceba4-7bbf-4f98-b57e-0b9675b067e4 · outbound

This paper cites Koll\'ar, Semi-Normal Log Centres and Deformations of Pairs, Proc.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\'ar, Semi-Normal Log Centres and Deformations of Pairs, Proc

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.284208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e1fd2673-f196-49c7-b04c-4844f9ddc11d · outbound

This paper cites Kempf , F.

Discreteness of volumes of divisors on Calabi-Yau type varieties Kempf , F

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.274734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6ab83bcb-137d-48bc-bf4f-89aec1169649 · outbound

This paper cites Koll\' a r and S.

Discreteness of volumes of divisors on Calabi-Yau type varieties Koll\' a r and S

Reference 101

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T23:45:50.265326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Outbound references

Pith citing papers