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Paper Citation Record · LEDGER

Positive holomorphic sectional curvature on rational surfaces

As of 21 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2606.23333.

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2606.23333 v1

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measured 61 of 61 reference resolution

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measured 61 of 61 standing notices

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61 of 61 outbound references displayed

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Outbound references

Observation 2bbf0129-1061-488e-b72f-c2755fea351e · outbound

This paper cites Abreu,Kähler geometry of toric manifolds in symplectic coordinates, inSymplectic and Contact Topology: Interactions and Perspectives, Fields Inst.

Positive holomorphic sectional curvature on rational surfaces Abreu,Kähler geometry of toric manifolds in symplectic coordinates, inSymplectic and Contact Topology: Interactions and Perspectives, Fields Inst

Reference 1

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Observation 388c01a7-b950-4115-9647-a4f2f984dd9c · outbound

This paper cites Alvarez, G.

Positive holomorphic sectional curvature on rational surfaces Alvarez, G

Reference 2

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Observation 29b79a98-21ee-478a-b247-916e19057541 · outbound

This paper cites Audin, A.

Positive holomorphic sectional curvature on rational surfaces Audin, A

Reference 3

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Observation 24e93139-11eb-4984-aeaf-ef478d641825 · outbound

This paper cites an unresolved cited work.

Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 4

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Observation 29220212-6f8c-459b-bf3d-2942584416da · outbound

This paper cites Audin,Torus Actions on Symplectic Manifolds, Progress in Mathematics93, Birkhäuser, 2004.

Positive holomorphic sectional curvature on rational surfaces Audin,Torus Actions on Symplectic Manifolds, Progress in Mathematics93, Birkhäuser, 2004

Reference 5

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Observation a53ce336-f571-41a6-afec-d9f25b56bbd3 · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 6

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Observation 493654c0-0779-400d-87ba-658aeb949b54 · outbound

This paper cites Boucksom, J.-P.

Positive holomorphic sectional curvature on rational surfaces Boucksom, J.-P

Reference 7

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Observation d353b82a-adbf-4f7c-ac46-fdd030a57b79 · outbound

This paper cites an unresolved cited work.

Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 8

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Observation 6f9a55b6-d6bb-4aba-acb5-57e3749f5fc8 · outbound

This paper cites Campana,Connexité rationnelle des variétés de Fano, Ann.

Positive holomorphic sectional curvature on rational surfaces Campana,Connexité rationnelle des variétés de Fano, Ann

Reference 9

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Observation 067d9927-405a-4bbf-b9c3-0f284a106fc2 · outbound

This paper cites Cannas da Silva,Lectures on Symplectic Geometry, Lecture Notes in Mathematics1764, Springer, corrected second printing, 2008.

Positive holomorphic sectional curvature on rational surfaces Cannas da Silva,Lectures on Symplectic Geometry, Lecture Notes in Mathematics1764, Springer, corrected second printing, 2008

Reference 10

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Observation 4829d359-3bb8-404c-8e16-94bb1ca6f9cf · outbound

This paper cites Cox,What is a toric variety?, Contemporary Mathematics334(2003), 203–223.

Positive holomorphic sectional curvature on rational surfaces Cox,What is a toric variety?, Contemporary Mathematics334(2003), 203–223

Reference 11

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Observation 501808fb-672b-4e39-9244-f7f13a23d0bc · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 12

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Observation c5ececad-0146-4ec3-aff8-a27a3471f6c1 · outbound

This paper cites Delzant,Hamiltoniens périodiques et images convexes de l’application moment, Bull.

Positive holomorphic sectional curvature on rational surfaces Delzant,Hamiltoniens périodiques et images convexes de l’application moment, Bull

Reference 13

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Observation dba61328-b2b2-459c-81ba-bdff71d8e2a9 · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 14

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Observation e618cdda-2547-403d-b6a2-d4508299f48d · outbound

This paper cites Fulton,Introduction to Toric Varieties, Annals of Mathematics Studies131, Princeton University Press, 1993.

Positive holomorphic sectional curvature on rational surfaces Fulton,Introduction to Toric Varieties, Annals of Mathematics Studies131, Princeton University Press, 1993

Reference 15

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Observation b51d038b-d4ac-4979-87e7-d138646d78bc · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 16

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Observation 896245a5-6303-4c07-94c3-222d9c39984e · outbound

This paper cites Guillemin and S.

Positive holomorphic sectional curvature on rational surfaces Guillemin and S

Reference 17

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Observation 44c2661d-e8b3-4aaa-8dd2-007a55d216de · outbound

This paper cites Guillemin,Kähler structures on toric varieties,J.

Positive holomorphic sectional curvature on rational surfaces Guillemin,Kähler structures on toric varieties,J

Reference 18

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Observation d031ebc7-93e0-476d-93be-1dd4b637e5ac · outbound

This paper cites Harbourne,Iterated blow-ups and moduli for rational surfaces, inAlgebraic Geometry, Sundance 1986, Lecture Notes in Math.1311, Springer, 1988, 101–117.

Positive holomorphic sectional curvature on rational surfaces Harbourne,Iterated blow-ups and moduli for rational surfaces, inAlgebraic Geometry, Sundance 1986, Lecture Notes in Math.1311, Springer, 1988, 101–117

Reference 19

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Observation f568c1bd-73c5-4dc0-9e21-f17328257d3b · outbound

This paper cites Hartshorne,Algebraic Geometry, Graduate Texts in Mathematics52, Springer, 1977.

Positive holomorphic sectional curvature on rational surfaces Hartshorne,Algebraic Geometry, Graduate Texts in Mathematics52, Springer, 1977

Reference 20

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Observation a55af6c6-9e1f-4f78-a5dd-bcaeb7338c21 · outbound

This paper cites Heier and B.

Positive holomorphic sectional curvature on rational surfaces Heier and B

Reference 21

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Observation 79710c59-25a6-40a0-81c6-f5d9c97ac57a · outbound

This paper cites Hitchin,On the curvature of rational surfaces, inDifferential geometry, Proc.

Positive holomorphic sectional curvature on rational surfaces Hitchin,On the curvature of rational surfaces, inDifferential geometry, Proc

Reference 22

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Observation e0f54e00-432a-4315-a1c4-5a46ca17ad52 · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 23

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Observation ca3c2d57-005a-48a6-b57f-b4c37de9af7e · outbound

This paper cites Itoh,Geometry of anti-self-dual connections and Kuranishi map, J.

Positive holomorphic sectional curvature on rational surfaces Itoh,Geometry of anti-self-dual connections and Kuranishi map, J

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Observation fabfb450-0880-40d9-8654-5253d66602e2 · outbound

This paper cites Kobayashi,Submersions of CR submanifolds, Tohoku Math.

Positive holomorphic sectional curvature on rational surfaces Kobayashi,Submersions of CR submanifolds, Tohoku Math

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Observation b3285454-462a-4b95-a1b1-f3d6091074da · outbound

This paper cites Kobayashi,Differential Geometry of Complex Vector Bundles, Publications of the Mathematical Society of Japan15, Iwanami Shoten and Princeton University Press, 1987.

Positive holomorphic sectional curvature on rational surfaces Kobayashi,Differential Geometry of Complex Vector Bundles, Publications of the Mathematical Society of Japan15, Iwanami Shoten and Princeton University Press, 1987

Reference 26

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Observation f8300255-dcab-4143-a8c1-80cd78ed7dda · outbound

This paper cites Stability theorems for complex structures, Ann.

Positive holomorphic sectional curvature on rational surfaces Stability theorems for complex structures, Ann

Reference 27

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Observation 120366ad-acb0-42a0-873f-4c1bfb59e9e4 · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

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Observation 0e52f06d-b163-4f7d-bc38-d3a05b3264eb · outbound

This paper cites Kollár, Y.

Positive holomorphic sectional curvature on rational surfaces Kollár, Y

Reference 31

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Observation 4b448a1f-c30f-4686-9787-4a5fbb55d310 · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 32

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Observation 22083321-0f8d-4e33-a29c-c64d0d2f8c55 · outbound

This paper cites Manikandan,On holomorphic sectional curvature of Kähler quotients, Arch.

Positive holomorphic sectional curvature on rational surfaces Manikandan,On holomorphic sectional curvature of Kähler quotients, Arch

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Observation 9bea119a-eea8-4e03-809c-7a84c800cabe · outbound

This paper cites Marsden and A.

Positive holomorphic sectional curvature on rational surfaces Marsden and A

Reference 34

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Observation 95e3ef57-1a5a-44dd-af86-ded422de7a46 · outbound

This paper cites Matsumura,On the image of MRC fibrations of projective manifolds with semi-positive holomor- phic sectional curvature, Pure Appl.

Positive holomorphic sectional curvature on rational surfaces Matsumura,On the image of MRC fibrations of projective manifolds with semi-positive holomor- phic sectional curvature, Pure Appl

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Observation b26bed94-5d1d-43be-a4a4-aaa1826f1857 · outbound

This paper cites Matsumura,On projective manifolds with semi-positive holomorphic sectional curvature, Amer.

Positive holomorphic sectional curvature on rational surfaces Matsumura,On projective manifolds with semi-positive holomorphic sectional curvature, Amer

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Observation 2ada9a02-8b97-43fe-9ac2-1096d40371ba · outbound

This paper cites Matsumura,Open problems on structure of positively curved projective varieties, Ann.

Positive holomorphic sectional curvature on rational surfaces Matsumura,Open problems on structure of positively curved projective varieties, Ann

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Observation d3704184-e442-43ee-9b37-85bbd549a415 · outbound

This paper cites Matsumura,A survey of structure theorems for varieties with non-negative curvature in complex geometry, to appear in Sugaku Expositions.

Positive holomorphic sectional curvature on rational surfaces Matsumura,A survey of structure theorems for varieties with non-negative curvature in complex geometry, to appear in Sugaku Expositions

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Observation 4c4c55ec-1c86-4d3e-bb78-047b22171e0f · outbound

This paper cites Fundamental groups of compact K\"ahler manifolds with semi-positive holomorphic sectional curvature.

Positive holomorphic sectional curvature on rational surfaces Fundamental groups of compact K\"ahler manifolds with semi-positive holomorphic sectional curvature

Reference 39

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Observation c82f6b4d-11a9-42a7-91b4-10ec821edf6a · outbound

This paper cites McDuff and D.

Positive holomorphic sectional curvature on rational surfaces McDuff and D

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Observation 428af5fb-575e-4a9f-81dc-af72e641bda8 · outbound

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Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 41

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Observation 979c03a3-4e54-4f6b-851a-8df63b19179f · outbound

This paper cites an unresolved cited work.

Positive holomorphic sectional curvature on rational surfaces Unresolved cited work

Reference 42

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:13d421af3e00ce2492e20e3526eec1f5037e66b7931bdff6c27f564c621a5270

Observation 62fcda09-a2a2-4cb0-9973-a0f24902ec17 · outbound

This paper cites Mori,Projective manifolds with ample tangent bundles, Ann.

Positive holomorphic sectional curvature on rational surfaces Mori,Projective manifolds with ample tangent bundles, Ann

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:be26f9643732d43afe85d8b98a1a0d27b1acd95930e543eb45a474f37086b702

Observation 783ef86c-4e24-4590-bde6-fe23620b5bba · outbound

This paper cites Ni,The fundamental group, rational connectedness and the positivity of Kähler manifolds, J.

Positive holomorphic sectional curvature on rational surfaces Ni,The fundamental group, rational connectedness and the positivity of Kähler manifolds, J

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:b1f37cd8e4f3ad6da574013c75ce95f0a072c4d625f2cbad651968666dddb080

Observation 77792b5d-02fb-4bc6-a949-c331b2bb1d53 · outbound

This paper cites Ni and F.

Positive holomorphic sectional curvature on rational surfaces Ni and F

Reference 45

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:aa7dbf0a5f28a80a14209ce757f0e839e21c83cfe55cf843ca194ef3341b3168

Observation bbe24f8c-3225-40d3-a65c-7d95afda482b · outbound

This paper cites Oda,Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete15, Springer, 1988.

Positive holomorphic sectional curvature on rational surfaces Oda,Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete15, Springer, 1988

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:7110fcd1dec323d640f05fa85767e90e27bc1eba4ab77d587336f6143a8f1e87

Observation 070b59d6-f5b1-4346-8148-effd368d4b9d · outbound

This paper cites O’Neill,The fundamental equations of a submersion, Michigan Math.

Positive holomorphic sectional curvature on rational surfaces O’Neill,The fundamental equations of a submersion, Michigan Math

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:b830145a8ced671ae8c46fdbf583c83f68c5f37d5536a729f3ec4e6228c3f938

Observation cb9732ca-1356-48b7-a267-b7c529778d4f · outbound

This paper cites Roé,Varieties of clusters and Enriques diagrams, Math.

Positive holomorphic sectional curvature on rational surfaces Roé,Varieties of clusters and Enriques diagrams, Math

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:4ca96fcdb9373057a6514f2bcf2e4bc3d087d78af1c0fecb4969affa3999a4d1

Observation e51dcd57-b1e1-4a11-84fa-e0e75c72a433 · outbound

This paper cites Rogov,Non-algebraic deformations of flat Kähler manifolds, Math.

Positive holomorphic sectional curvature on rational surfaces Rogov,Non-algebraic deformations of flat Kähler manifolds, Math

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:217c58f154615db8f28b3a4b5c1a46d0458c9aaa38087de0c1b02521874b6d1d

Observation 4df99f96-cbf3-424b-a131-387f9ca59aa8 · outbound

This paper cites Siu and S.-T.

Positive holomorphic sectional curvature on rational surfaces Siu and S.-T

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:6a613014342de5ed603fe6769f2c9602bfef2eac4848daf08ac2a6d2b7e8d567

Observation 46d90407-3b2c-4146-8a31-51a3d20bb9f5 · outbound

This paper cites Sumihiro,Equivariant completion, J.

Positive holomorphic sectional curvature on rational surfaces Sumihiro,Equivariant completion, J

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:903e2201a941f76a929b494f2993fbcf8b090332ab22fc728a4f83d22e84d9ea

Observation 9caad597-3fd9-4ade-9d6e-321e5ddef6db · outbound

This paper cites Tosatti and X.-K.

Positive holomorphic sectional curvature on rational surfaces Tosatti and X.-K

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:3d91713b33b648f03338dd9d68dfcb3087f98945252c2230f9280facee63e429

Observation db450915-1f20-4889-b244-95d429b87e20 · outbound

This paper cites Weinstein,Lectures on Symplectic Manifolds, CBMS Regional Conference Series in Mathematics 29, American Mathematical Society, 1977.

Positive holomorphic sectional curvature on rational surfaces Weinstein,Lectures on Symplectic Manifolds, CBMS Regional Conference Series in Mathematics 29, American Mathematical Society, 1977

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:c3a860e0128337231b44c570d691479eca50535f26bc0d31f803dfe49e44609b

Observation 4e3b6974-17a3-495a-8ae2-ceb4c0b15cb4 · outbound

This paper cites Math.204(2016), no.

Positive holomorphic sectional curvature on rational surfaces Math.204(2016), no

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Observation 5d120ee2-6ed0-4e3f-bd19-0a343cd90f3e · outbound

This paper cites Yang,RC-positivity, rational connectedness and Yau’s conjecture, Camb.

Positive holomorphic sectional curvature on rational surfaces Yang,RC-positivity, rational connectedness and Yau’s conjecture, Camb

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:25e8ac86ca6cec8b14667a55dcd174625d1d8b5f4cdf279070757e628f8f410b

Observation 2cf12276-c253-4a1c-acb4-b358017b52f9 · outbound

This paper cites Yang and F.

Positive holomorphic sectional curvature on rational surfaces Yang and F

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:29927df899bae2e86a72fc7bd260d7155b8d75d877f775168efee49af0c95e83

Observation 7efc387d-3fc3-4212-ad4e-78f9ceaaf8a8 · outbound

This paper cites Yau,On the Ricci curvature of a compact Kähler manifold and the complex Monge–Ampère equation, I, Comm.

Positive holomorphic sectional curvature on rational surfaces Yau,On the Ricci curvature of a compact Kähler manifold and the complex Monge–Ampère equation, I, Comm

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Observation 009f65cb-4b59-418e-a876-51fdd7ccf396 · outbound

This paper cites Yau,A review of complex differential geometry, inSeveral complex variables and complex geometry, Part 2(Santa Cruz, CA, 1989), Proc.

Positive holomorphic sectional curvature on rational surfaces Yau,A review of complex differential geometry, inSeveral complex variables and complex geometry, Part 2(Santa Cruz, CA, 1989), Proc

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:fdadd8d20bfcd2387558335bcf268bebf6ebfb6488b7701f59426b10cc9652a9

Observation ee6dffee-228b-42b5-8de2-b2682adaebd5 · outbound

This paper cites Yau,Open problems in geometry, inDifferential geometry: partial differential equations on manifolds, Proc.

Positive holomorphic sectional curvature on rational surfaces Yau,Open problems in geometry, inDifferential geometry: partial differential equations on manifolds, Proc

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:6c012d327302484064d38454940736dc351edc9213a8cb34bcd8b6514132532d

Observation ae61d0da-c7d1-4158-8a55-3c86e86b1f31 · outbound

This paper cites Zhang and X.

Positive holomorphic sectional curvature on rational surfaces Zhang and X

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Observation cc4fe4eb-a679-48fe-9632-962076ebc4c2 · outbound

This paper cites On the structure of compact K\"{a}hler manifolds with nonnegative holomorphic sectional curvature.

Positive holomorphic sectional curvature on rational surfaces On the structure of compact K\"{a}hler manifolds with nonnegative holomorphic sectional curvature

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arxiv_id, observed 2026-07-04T12:19:49.544413Z

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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:3b28e3d94325c5c27a10806aa12ad86f8f2816d15c0a4e06d4166446460da5f6

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