Timeline for A paper that proves the blowup of the projective plane has positive holomorphic sectional curvature
Current License: CC BY-SA 4.0
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Jun 7, 2023 at 11:25 | comment | added | Gunnar Þór Magnússon | @JasonStarr Thank you. I have actually read those. In the paper I'm looking for the authors worked with the standard local image of a blowup, and not that the first Hirzebruch surface can be realized as a projectivized bundle. I'm interested in their technique, not in the result itself. | |
Jun 7, 2023 at 11:06 | comment | added | Jason Starr | The article of Hitchin is the following: “On the curvature of rational surfaces”, in Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Part 2, Stanford Univ., Stanford, 1973), American Mathematical Society, 1975, p.65-80. | |
Jun 7, 2023 at 11:04 | comment | added | Jason Starr | Actually, they attribute the result for Hirzebruch surfaces to Hitchin (they prove the result also for Hirzebruch manifolds of dimension greater than two). | |
Jun 7, 2023 at 11:03 | comment | added | Jason Starr | I do not know what article you read, but this is Theorem 1.3 in the following article, "Hirzebruch manifolds and positive holomorphic sectional curvature", by Bo Yang and Fangyang Zheng: numdam.org/item/10.5802/aif.3303.pdf | |
Jun 7, 2023 at 10:56 | history | asked | Gunnar Þór Magnússon | CC BY-SA 4.0 |