Paper Citation Record · LEDGER

Noether-type inequalities for big divisors via control of the negative part

As of 15 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2510.08089.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2510.08089 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T11:02:34.794490Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

verified exact0
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 141ccd14-6142-422d-9c08-00b4372d603f · outbound

This paper cites Beauville, \'application canonique pour les surfaces de type g\'en\'eral.

Noether-type inequalities for big divisors via control of the negative part Beauville, \'application canonique pour les surfaces de type g\'en\'eral

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.025273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d00b4168-0296-489e-ba3a-e1b22d6e6c60 · outbound

This paper cites Brunella, Birational geometry of foliations, IMPA Monographs, 1.

Noether-type inequalities for big divisors via control of the negative part Brunella, Birational geometry of foliations, IMPA Monographs, 1

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.070791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12d0f510-38a8-40d7-832b-cc24122d6b8e · outbound

This paper cites Chen and Meng Chen.

Noether-type inequalities for big divisors via control of the negative part Chen and Meng Chen

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.141388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4efca1e1-44d2-4a84-9566-f54fa00519fc · outbound

This paper cites Hartshorne.

Noether-type inequalities for big divisors via control of the negative part Hartshorne

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.228834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69d431c6-98cd-43cb-ba74-9f4d494d832b · outbound

This paper cites Springer-Verlag, New York, 2001.

Noether-type inequalities for big divisors via control of the negative part Springer-Verlag, New York, 2001

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.316850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20674397-5287-4327-a48a-e042b618af3d · outbound

This paper cites The Poincar\'e Problem for a foliated surface.

Noether-type inequalities for big divisors via control of the negative part The Poincar\'e Problem for a foliated surface

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.458510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e454fd3-b253-462c-a1af-37cdbece086e · outbound

This paper cites McQuillan, Canonical models of foliations, Pure and Applied Mathematics Quarterly, (Special Issue: In honor of Fedor Bogomolov, Part 2 of 2) 4 (2008), no.

Noether-type inequalities for big divisors via control of the negative part McQuillan, Canonical models of foliations, Pure and Applied Mathematics Quarterly, (Special Issue: In honor of Fedor Bogomolov, Part 2 of 2) 4 (2008), no

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.557944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56c9ef65-8855-4599-905e-162ae21fad21 · outbound

This paper cites Nagata, On rational surfaces.

Noether-type inequalities for big divisors via control of the negative part Nagata, On rational surfaces

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.614027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d51470b7-50b9-4205-8f15-753837877097 · outbound

This paper cites an unresolved cited work.

Noether-type inequalities for big divisors via control of the negative part Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.681414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a84abce8-00f5-4da5-8ff7-33fb840df099 · outbound

This paper cites Tsunoda and De-Qi Zhang, Noether's inequality for non-complete algebraic surfaces of general type, Publ.

Noether-type inequalities for big divisors via control of the negative part Tsunoda and De-Qi Zhang, Noether's inequality for non-complete algebraic surfaces of general type, Publ

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.740900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4433f037-07c8-4c10-8d66-0c647752a6d0 · outbound

This paper cites Zariski, The theorem of Riemann-Roch for higher multiples of an effective divisor on an algebraic surface, Ann.

Noether-type inequalities for big divisors via control of the negative part Zariski, The theorem of Riemann-Roch for higher multiples of an effective divisor on an algebraic surface, Ann

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T11:02:34.794490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.