Paper Citation Record · LEDGER

RC-positivity, Schwarz's lemma and comparison theorems

As of 12 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 4 inbound Pith citation observations for arXiv:2412.02553.

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

pith.paper-citation-record.v1
2412.02553 v2

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:24:54.869208Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:09:37.376364Z

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation 6d9a489c-3671-4b43-aef6-ed5d1a83b695 · outbound

This paper cites an unresolved cited work.

RC-positivity, Schwarz's lemma and comparison theorems Unresolved cited work

Reference 1

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This paper cites Bishop and Richard J.

RC-positivity, Schwarz's lemma and comparison theorems Bishop and Richard J

Reference 2

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This paper cites The Schwarz lemma: an odyssey.

RC-positivity, Schwarz's lemma and comparison theorems The Schwarz lemma: an odyssey

Reference 3

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RC-positivity, Schwarz's lemma and comparison theorems Unresolved cited work

Reference 4

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Observation 49bf9213-9396-46a8-a620-f2f4a201f0fd · outbound

This paper cites On the S chwarz lemma for complete K \"ahler manifolds.

RC-positivity, Schwarz's lemma and comparison theorems On the S chwarz lemma for complete K \"ahler manifolds

Reference 5

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RC-positivity, Schwarz's lemma and comparison theorems Unresolved cited work

Reference 6

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Observation 6ce2b9d3-c8d1-4273-a503-c97a414cfdc8 · outbound

This paper cites On holomorphic mappings of Hermitian manifolds of the same dimension.

RC-positivity, Schwarz's lemma and comparison theorems On holomorphic mappings of Hermitian manifolds of the same dimension

Reference 7

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This paper cites Eigenvalue comparison theorems and its geometric applications.

RC-positivity, Schwarz's lemma and comparison theorems Eigenvalue comparison theorems and its geometric applications

Reference 8

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This paper cites Schwarz lemma: the case of equality and an extension.

RC-positivity, Schwarz's lemma and comparison theorems Schwarz lemma: the case of equality and an extension

Reference 9

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This paper cites K\"ahler manifolds and mixed curvature.

RC-positivity, Schwarz's lemma and comparison theorems K\"ahler manifolds and mixed curvature

Reference 10

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Observation b5217a78-223d-4e32-886d-142e6fe99d33 · outbound

This paper cites Diameter rigidity for K \"ahler manifolds with positive bisectional curvature.

RC-positivity, Schwarz's lemma and comparison theorems Diameter rigidity for K \"ahler manifolds with positive bisectional curvature

Reference 11

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Observation d9ba6866-bfde-422d-963b-3f30be60ad81 · outbound

This paper cites Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle.

RC-positivity, Schwarz's lemma and comparison theorems Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle

Reference 12

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This paper cites auser Classics. Birkh\.

RC-positivity, Schwarz's lemma and comparison theorems auser Classics. Birkh\

Reference 13

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Observation e01cae86-917f-49d8-802f-6ab4786d28ee · outbound

This paper cites Elliptic Partial Differential Equations.

RC-positivity, Schwarz's lemma and comparison theorems Elliptic Partial Differential Equations

Reference 14

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This paper cites Hyperbolic complex spaces.

RC-positivity, Schwarz's lemma and comparison theorems Hyperbolic complex spaces

Reference 15

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This paper cites Almost complex manifolds and hyperbolicity.

RC-positivity, Schwarz's lemma and comparison theorems Almost complex manifolds and hyperbolicity

Reference 16

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Observation 82a7aea5-e301-42c3-9ae4-c9bc656e4889 · outbound

This paper cites Geometric height inequalities.

RC-positivity, Schwarz's lemma and comparison theorems Geometric height inequalities

Reference 17

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Observation 6992473b-067b-4b44-bf77-c8b770b3c971 · outbound

This paper cites Canonical metrics on the moduli space of R iemann surfaces.

RC-positivity, Schwarz's lemma and comparison theorems Canonical metrics on the moduli space of R iemann surfaces

Reference 18

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Observation 579ccc10-071a-42a5-bbe7-b9d6af57313f · outbound

This paper cites On the minimal number of singular fibers with non-compact Jacobians for families of curves over P ^1.

RC-positivity, Schwarz's lemma and comparison theorems On the minimal number of singular fibers with non-compact Jacobians for families of curves over P ^1

Reference 19

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This paper cites Holomorphic mappings of complex manifolds.

RC-positivity, Schwarz's lemma and comparison theorems Holomorphic mappings of complex manifolds

Reference 20

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This paper cites Comparison theorem for K \"ahler manifolds and positivity of spectrum.

RC-positivity, Schwarz's lemma and comparison theorems Comparison theorem for K \"ahler manifolds and positivity of spectrum

Reference 21

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This paper cites Comparison geometry of holomorphic bisectional curvature for K \"ahler manifolds and limit spaces.

RC-positivity, Schwarz's lemma and comparison theorems Comparison geometry of holomorphic bisectional curvature for K \"ahler manifolds and limit spaces

Reference 22

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RC-positivity, Schwarz's lemma and comparison theorems Ricci curvatures on H ermitian manifolds

Reference 23

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This paper cites Diameter rigidity for K \"ahler manifolds with positive bisectional curvature.

RC-positivity, Schwarz's lemma and comparison theorems Diameter rigidity for K \"ahler manifolds with positive bisectional curvature

Reference 24

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RC-positivity, Schwarz's lemma and comparison theorems On holomorphic mappings between almost H ermitian manifolds

Reference 25

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This paper cites The strong form of A hlfors' lemma.

RC-positivity, Schwarz's lemma and comparison theorems The strong form of A hlfors' lemma

Reference 26

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This paper cites Completeness of the K\"ahler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions.

RC-positivity, Schwarz's lemma and comparison theorems Completeness of the K\"ahler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions

Reference 27

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RC-positivity, Schwarz's lemma and comparison theorems Unresolved cited work

Reference 28

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RC-positivity, Schwarz's lemma and comparison theorems General S chwarz lemmata and their applications

Reference 29

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This paper cites Liouville theorems and a S chwarz lemma for holomorphic mappings between K \"ahler manifolds.

RC-positivity, Schwarz's lemma and comparison theorems Liouville theorems and a S chwarz lemma for holomorphic mappings between K \"ahler manifolds

Reference 30

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RC-positivity, Schwarz's lemma and comparison theorems Comparison and vanishing theorems for K \"ahler manifolds

Reference 31

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RC-positivity, Schwarz's lemma and comparison theorems The A hlfors- S chwarz lemma in several complex variables

Reference 32

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RC-positivity, Schwarz's lemma and comparison theorems The A hlfors- S chwarz lemma: the case of equality

Reference 33

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RC-positivity, Schwarz's lemma and comparison theorems Compact K \"ahler manifolds of positive bisectional curvature

Reference 34

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RC-positivity, Schwarz's lemma and comparison theorems A general S chwarz lemma for almost- H ermitian manifolds

Reference 35

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RC-positivity, Schwarz's lemma and comparison theorems On K \"ahlerian manifolds with positive holomorphic sectional curvature

Reference 36

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RC-positivity, Schwarz's lemma and comparison theorems Some comparison theorems for K \"ahler manifolds

Reference 37

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RC-positivity, Schwarz's lemma and comparison theorems An extension of a theorem of W u- Y au

Reference 38

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RC-positivity, Schwarz's lemma and comparison theorems Manifolds with a lower R icci curvature bound

Reference 39

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RC-positivity, Schwarz's lemma and comparison theorems Negative holomorphic curvature and positive canonical bundle

Reference 40

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RC-positivity, Schwarz's lemma and comparison theorems Conjugate radius, volume comparison and rigidity

Reference 41

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RC-positivity, Schwarz's lemma and comparison theorems R C -positivity, rational connectedness and Y au's conjecture

Reference 42

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RC-positivity, Schwarz's lemma and comparison theorems A partial converse to the Andreotti-Grauert theorem

Reference 43

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RC-positivity, Schwarz's lemma and comparison theorems RC-positive metrics on rationally connected manifolds

Reference 44

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This paper cites RC-positivity, vanishing theorems and rigidity of holomorphic maps.

RC-positivity, Schwarz's lemma and comparison theorems RC-positivity, vanishing theorems and rigidity of holomorphic maps

Reference 45

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RC-positivity, Schwarz's lemma and comparison theorems R C -positivity and the generalized energy density I : R igidity

Reference 46

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RC-positivity, Schwarz's lemma and comparison theorems A general S chwarz lemma for K \"ahler manifolds

Reference 47

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RC-positivity, Schwarz's lemma and comparison theorems Tamed exhaustion functions and S chwarz type lemmas for almost H ermitian manifolds

Reference 48

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This paper cites On real bisectional curvature for H ermitian manifolds.

RC-positivity, Schwarz's lemma and comparison theorems On real bisectional curvature for H ermitian manifolds

Reference 49

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This paper cites On the optimal volume upper bound for K \"ahler manifolds with positive R icci curvature.

RC-positivity, Schwarz's lemma and comparison theorems On the optimal volume upper bound for K \"ahler manifolds with positive R icci curvature

Reference 50

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This paper cites Complex differential geometry , volume 18 of AMS/IP Studies in Advanced Mathematics.

RC-positivity, Schwarz's lemma and comparison theorems Complex differential geometry , volume 18 of AMS/IP Studies in Advanced Mathematics

Reference 51

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Reference 52

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Pith citing papers

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First eigenvalue estimates on complete K\"ahler manifolds cites this paper.

First eigenvalue estimates on complete K\"ahler manifolds RC-positivity, Schwarz's lemma and comparison theorems

Reference 41

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RC-positivity, comparison theorems and prescribed Hermitian-Yang-Mills tensors II cites this paper.

RC-positivity, comparison theorems and prescribed Hermitian-Yang-Mills tensors II RC-positivity, Schwarz's lemma and comparison theorems

Reference 18

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2f667950-4f0d-4d00-92d2-d63a76578ee7 · inbound

The prescribed Hermitian-Yang-Mills flow I cites this paper.

The prescribed Hermitian-Yang-Mills flow I RC-positivity, Schwarz's lemma and comparison theorems

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-04T06:59:38.114250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7428f286-dd15-4164-9139-efdd55bfd936 · inbound

The prescribed Hermitian-Yang-Mills flow II cites this paper.

The prescribed Hermitian-Yang-Mills flow II RC-positivity, Schwarz's lemma and comparison theorems

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-07-04T07:09:37.377786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.