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Paper Citation Record · LEDGER

Positive holomorphic sectional curvature on rational surfaces

As of 12 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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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

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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

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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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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:81045463d2f6a4a904902af11e515690a45aa4e7f303d90dae66a46db432ad96

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

This paper cites McDuff and D.

Positive holomorphic sectional curvature on rational surfaces McDuff and D

Reference 40

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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:cb59af7aed9e50ff938491002b06185cba276110a4ed1bfb6b7406f7740680c8

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=sha256:5d67e9a92ea465a4d6f3d14533fad2a51fb13496639231f65dc533525872cd7b

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=sha256:35a6e6c21fcfd9694ec98531e48693dfd578abc1f9fdf9c207a3335d64427361

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=sha256:7b6607d5b1fef89f42baed0f4aa628813a3f534f2098eff19ccd932d3129d462

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=sha256:0e87a289d4bf2507a315b4934ba7537fda292d7aebee2a9a23c9b38c49ca09b0

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=sha256:53f8312745a08ef1be1a6278ae9060feed44756b49d945f01bceae6dc69c0c84

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=sha256:2002d24ca407b7a468be5d91a4e52dc4293a2bfdf12d0b02eea9ca04e82adb2c

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=sha256:3d321707c9fdf2d2a53249558c790a3812f71a16d074716511b21661d31e30cf

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=sha256:3398d8a8dc2d66b0634ae5474d8fe3a6cc57198d788675ff48071599c853af73

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:d64bae5be14319b6e0651f89269439882e335511f43f058abced63ef4bbc5653

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:cd96efbc9567c1ba37ba23466721a75406e39373eea03e9fcac1b2776c100a30

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:a718abae962d2d873f873ef185025375232eb4069fd125372479cd6f87cb4e6b

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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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:2826d4e1f2059d09a0872c0ea99fba99e2e740f3bfd868146a9a977249fb2430

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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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=sha256:786cc27aee274f0faf30abf49db18a01312ed7f212047d74be9b483ecfd9e372

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=sha256:22d1f31fc9184353a953da36f2c25510de0127086d3ba6a2e5688e144b5b8130

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:f685f39c84cb6364871c481d9ef7fb905a565503f4cbf34f3cda197cd1345a68

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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source=pdf_text observed=2026-06-26T07:04:34.238154Z digest=sha256:d1b44a805b16f044e5a91389d940f4e8e51b7a8e0eafcf472ffa349103d36d73

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:a072c5d1b8a28d57db379618387ff86ad168112b90fbbe837fc10b0df0ee5e4f

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