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Paper Citation Record · LEDGER

Essential dimensions of polarized endomorphisms of certain algebraic surfaces

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2606.24103.

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

pith.paper-citation-record.v1
2606.24103 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T22:53:15.132281Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

24 of 24 outbound references displayed

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External citation measurements

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Outbound references

Observation 9737612d-8580-49e4-bce6-d462fb628148 · outbound

This paper cites an unresolved cited work.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Unresolved cited work

Reference 1

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no resolver link, observed 2026-06-25T22:53:15.132281Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:e8e30ec7cba28cedfaf545187360caa4f4cc4d328929987e951aff3235360275

Observation fa3cb884-a5eb-42ed-b39a-125b7402e18a · outbound

This paper cites Beauville,Finite subgroups ofPGL 2(K).

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Beauville,Finite subgroups ofPGL 2(K)

Reference 2

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:51c0d042b61fe963e301c44caca41f7b4ae90e213d94cd2a187026eef5e0130e

Observation 5878ea2f-c969-438b-ae3a-9dfddf5134b6 · outbound

This paper cites Buhler and Z.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Buhler and Z

Reference 3

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:407dc55daa9bbea123eef36067a5ea6bc75e6eebc232d931deae7dac195f83ff

Observation 8a89f517-30ce-479d-9f30-8161ab0c7c88 · outbound

This paper cites Buhler and Z.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Buhler and Z

Reference 4

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:897edf8368a3df5d4f3988f89942893298024eebb17b9c48a2742e8fa9859aaf

Observation 1e5e7684-4653-4026-9988-28988af6cfc7 · outbound

This paper cites an unresolved cited work.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Unresolved cited work

Reference 5

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no resolver link, observed 2026-06-25T22:53:15.132281Z

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:a00e06f05e8c9d39582d4d355f3d411c25576ce9fb7ee938a20f0b508b4f464c

Observation 9e9b16e2-27d5-485b-b537-7a9f3c80d0b3 · outbound

This paper cites Fakhruddin and R.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Fakhruddin and R

Reference 6

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:4093db69c0ac4db28e66c0b75549e25e591d740f29fe4e1c384bff1916e314e1

Observation 2818757f-14f1-423e-9718-b8df64250cf6 · outbound

This paper cites Fulton,Intersection theory.Second edition.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Fulton,Intersection theory.Second edition

Reference 7

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:80e2926756f456864b130b9bf3ac3c55c67ad9c3491d051641df2abde97298b3

Observation f427cfa6-f8d1-43df-8562-873b548a3178 · outbound

This paper cites an unresolved cited work.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Unresolved cited work

Reference 8

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:d982086c16dd05e9461bdeed95e3ad42d591ef5cb314efb05887671cee49777d

Observation c065375a-6261-4d20-8c5c-49a01b1e86e0 · outbound

This paper cites Hartshorne,Algebraic geometry.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Hartshorne,Algebraic geometry

Reference 9

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no resolver link, observed 2026-06-25T22:53:15.132281Z

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:56762bd44debd1fa7a0a7767afe891435c1356f023a1ba7ae5125c3e382abbbc

Observation b4f5e863-5600-4379-a2e1-b7e2dd76b874 · outbound

This paper cites Koll´ ar and S.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Koll´ ar and S

Reference 10

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no resolver link, observed 2026-06-25T22:53:15.132281Z

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:729f8e075542be36a2f1638edde4aa132f49d03665aa8f286521812d1a9fdf21

Observation 4e822718-59be-4178-a0ed-d3175e183b88 · outbound

This paper cites Kraft and I.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Kraft and I

Reference 11

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no resolver link, observed 2026-06-25T22:53:15.132281Z

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:4488e028b9b4cfb4a1fbfa65eaa936582b731157fdfdba7edd1d262a4292a01d

Observation bfb9a2fe-f9a5-41d3-ac6c-8f9f71fa7a4f · outbound

This paper cites Koll´ ar and Z.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Koll´ ar and Z

Reference 12

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:e084de80c94e8937ff398358862c80813f5e6615c7c5fe7c4fa2f1d52a5662d2

Observation 090d68cd-abf1-4332-8626-d2e9add2857b · outbound

This paper cites Lazarsfeld,Positivity in algebraic geometry.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Lazarsfeld,Positivity in algebraic geometry

Reference 13

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:80f51683f30a7c3cd3215702a767e72c263331715befc7e6b13850d3f30fd67f

Observation 4044dbab-3c2b-4e32-9419-2cbd647d08aa · outbound

This paper cites an unresolved cited work.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Unresolved cited work

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:30:01.189341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:b43c731ceccad1eca3a3207e192c942c0772f8808eb0a85a08d555093d86c937

Observation 5477b33e-5a78-4388-8377-52efa69fa3dd · outbound

This paper cites Galois self-covers of projective spaces and essential dimensions.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Galois self-covers of projective spaces and essential dimensions

Reference 15

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verified exact
local_arxiv, observed 2026-07-04T18:30:01.191955Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:8db1f8dc9033dccce52e3f8663bc4e4c386e5397d8a571a70dd16e5792b16add

Observation 84f3a4e5-b84d-47ef-a9a2-f45689651839 · outbound

This paper cites Meng and D.-Q.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Meng and D.-Q

Reference 16

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:f81d7e5c0fc297c874ea56b777b5358651d5c346cf099773a66230f90b0e301b

Observation 99c2e27c-08b6-479e-8ece-d1b08be26381 · outbound

This paper cites Mumford,Abelian Varieties.Oxford University Press, (1974).

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Mumford,Abelian Varieties.Oxford University Press, (1974)

Reference 17

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:3e4d6a1dc5c70aceb54daeba15ae9e65e61b26d9a3e5b9ff3bbe44e1655f04bc

Observation a9d51552-fb84-451d-b43a-9a293a4ecf23 · outbound

This paper cites Nakayama,Ruled surfaces with non-trivial surjective endomorphisms.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Nakayama,Ruled surfaces with non-trivial surjective endomorphisms

Reference 18

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:f02cd1ffaf0549766042d754e10248d077f2a6135c43dfdfe75d826b34e505db

Observation 1d95d206-07c3-46b3-bf20-696c737afc75 · outbound

This paper cites Nakayama and D.-Q.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Nakayama and D.-Q

Reference 19

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:a8d1fef4c052e910b8dcb632fa85bdbbad11d49c6345ba4e6bb889226ee88f7d

Observation 108a8282-bd70-411f-bcc2-02c7fd260386 · outbound

This paper cites Reichstein,Essential dimension.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Reichstein,Essential dimension

Reference 20

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:170a5d8fdbfe43a77fe1ea582f50a7821c69060c9ba087e396a4a0ec72211eb6

Observation 95d3a9ce-9805-483d-8f8f-847a65bbcec9 · outbound

This paper cites Satriano,The Chevalley–Shephard–Todd theorem for finite linearly reductive group schemes.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Satriano,The Chevalley–Shephard–Todd theorem for finite linearly reductive group schemes

Reference 21

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unresolved
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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:56a6cfba8fa90c9f64f1f5c8785e0436994017c007d9c6d8c449ff10ceb25225

Observation 634105d5-10c2-44e2-8707-ebdd1be07c25 · outbound

This paper cites an unresolved cited work.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Unresolved cited work

Reference 22

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:623927266d664348b5976bece698c106c58bc2ca756c55e49741a0935a6bd128

Observation 54af4636-4a34-4e72-a3b7-f9b8418ff63a · outbound

This paper cites Zhang,Polarized endomorphisms of uniruled varieties.Compos.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Zhang,Polarized endomorphisms of uniruled varieties.Compos

Reference 23

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:8d34a230698320ece6a1f2dd6fc60cce1666a6e6900a7d05a114a6f5d5360cb7

Observation f688ac58-1f04-495b-8262-fe2f10eb7d73 · outbound

This paper cites Zhang, Distributions in algebraic dynamics.

Essential dimensions of polarized endomorphisms of certain algebraic surfaces Zhang, Distributions in algebraic dynamics

Reference 24

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source=pdf_text observed=2026-06-25T22:53:15.132281Z digest=sha256:8fdeefbfe4946d974fe54ca7414ca95016d98a045ad71f17a2e610432ef20fb0

Pith citing papers

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