Paper Citation Record · LEDGER

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties

As of 19 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2507.05027.

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pith.paper-citation-record.v1
2507.05027 v1

Coverage vector

measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T19:49:27.139927Z

measured 33 of 33 standing notices

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation 01847e5d-5a96-47db-becb-328d4b30283b · outbound

This paper cites An upper bound for the generalised greatest common divisor of rational points.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties An upper bound for the generalised greatest common divisor of rational points

Reference 1

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Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Unresolved cited work

Reference 2

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Observation 12946773-fd3f-4f2a-999b-6e2533cf0ab1 · outbound

This paper cites Dynamical degrees of (pseudo)-automorphisms fixing cubic hypersurfaces.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Dynamical degrees of (pseudo)-automorphisms fixing cubic hypersurfaces

Reference 3

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Observation 18b25800-3edf-4b37-a6a0-9a6939baac20 · outbound

This paper cites 4 of New Mathematical Monographs.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties 4 of New Mathematical Monographs

Reference 4

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This paper cites of an´ 1 and bn´ 1.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties of an´ 1 and bn´ 1

Reference 5

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Observation 120a71ea-60e3-4371-89b8-7e1bbd5a0c96 · outbound

This paper cites Degrees of iterates of rational maps on normal projective varieties.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Degrees of iterates of rational maps on normal projective varieties

Reference 6

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Observation e239e4a7-8266-4583-8f6b-c9cb7ab6bc25 · outbound

This paper cites Springer Monographs in Mathematics.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Springer Monographs in Mathematics

Reference 7

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Observation 3cdd88a3-ea83-42a0-a5db-89ca42aab683 · outbound

This paper cites 2 of Ergebnisse der Mathematik und ihrer Gren- zgebiete.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties 2 of Ergebnisse der Mathematik und ihrer Gren- zgebiete

Reference 8

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Observation b938cb2c-ac6c-499f-921a-c8638602c32d · outbound

This paper cites Bulletin of the London Mathematical Society 56 , 6 (2024), 1939–1950.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Bulletin of the London Mathematical Society 56 , 6 (2024), 1939–1950

Reference 9

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Observation e5d2ef1c-f109-4293-b34d-db7df389887f · outbound

This paper cites Algebraic geometry, vol.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Algebraic geometry, vol

Reference 10

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Observation 5462abfa-dfd0-4744-ae33-b44bed31dcd3 · outbound

This paper cites H.Diophantine geometry, vol.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties H.Diophantine geometry, vol

Reference 11

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This paper cites Generalized greatest common divisors for orbits under rational functions.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Generalized greatest common divisors for orbits under rational functions

Reference 12

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Observation afe4cfc5-5d02-4ba4-85fe-8692b0fe66b2 · outbound

This paper cites H.Dynamical canonical heights for Jordan blocks, arith- metic degrees of orbits, and nef canonical heights on abelian varieties.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties H.Dynamical canonical heights for Jordan blocks, arith- metic degrees of orbits, and nef canonical heights on abelian varieties

Reference 13

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Observation d4fca4b4-78ed-4938-91d5-a9bacdfeb93a · outbound

This paper cites Springer-Verlag, New York, 1983.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Springer-Verlag, New York, 1983

Reference 14

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Observation 99ad3812-2f83-47d8-a6fa-a9ef73f2e547 · outbound

This paper cites Positivity in algebraic geometry.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Positivity in algebraic geometry

Reference 15

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Observation e4e073e7-36da-4161-8f22-cd8af75f728a · outbound

This paper cites Positivity in algebraic geometry.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Positivity in algebraic geometry

Reference 16

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Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Unresolved cited work

Reference 17

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This paper cites 6 of Oxford Graduate Texts in Mathemat- ics.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties 6 of Oxford Graduate Texts in Mathemat- ics

Reference 18

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This paper cites 8 of Cambridge Studies in Advanced Mathematics.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties 8 of Cambridge Studies in Advanced Mathematics

Reference 19

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This paper cites Height functions associated with closed subschemes.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Height functions associated with closed subschemes

Reference 20

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Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Unresolved cited work

Reference 21

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Observation 1d83827c-8a29-4e0e-99f6-a923860da952 · outbound

This paper cites Vojta's conjecture, heights associated with subschemes, and primitive prime divisors in arithmetic dynamics.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Vojta's conjecture, heights associated with subschemes, and primitive prime divisors in arithmetic dynamics

Reference 22

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Observation e4dbf953-5d0c-41aa-a144-1923a11487d8 · outbound

This paper cites Recent advances on Kawaguchi-Silverman conjecture.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Recent advances on Kawaguchi-Silverman conjecture

Reference 23

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This paper cites Journal f¨ ur die reine und angewandte Mathematik (Crelles Journal) (2025).

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Journal f¨ ur die reine und angewandte Mathematik (Crelles Journal) (2025)

Reference 24

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Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties to appear in Trans

Reference 25

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This paper cites T.Explicit examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties T.Explicit examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy

Reference 26

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Reference 27

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This paper cites H.Arithmetic distance functions and height functions in Diophantine geometry.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties H.Arithmetic distance functions and height functions in Diophantine geometry

Reference 28

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This paper cites H.Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties H.Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space

Reference 29

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This paper cites Dynamical Degrees, Arithmetic Degrees, and Canonical Heights: History, Conjectures, and Future Directions.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Dynamical Degrees, Arithmetic Degrees, and Canonical Heights: History, Conjectures, and Future Directions

Reference 30

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This paper cites T.Relative dynamical degrees of correspondences over a field of arbitrary charac- teristic.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties T.Relative dynamical degrees of correspondences over a field of arbitrary charac- teristic

Reference 31

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Observation 6a72f2e5-c038-4579-a870-f2e1529174fa · outbound

This paper cites Ast´ erisque, 394 (2017), vi+110.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Ast´ erisque, 394 (2017), vi+110

Reference 32

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This paper cites Algebraic dynamics and recursive inequalities.

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties Algebraic dynamics and recursive inequalities

Reference 33

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