Timeline for Hermitian holomorphic line bundle and curvature Chern form in Demailly's book
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 22, 2022 at 8:46 | answer | added | Tom | timeline score: 2 | |
| Sep 21, 2022 at 15:13 | comment | added | Tom | @GunnarÞórMagnússon, thanks for pointing out that "Th. I-3.35 should be Th. I-5.16" and ensure the statement in the question is true, they are so helpful, it gives me more courage to try to understand Demailly's proof. | |
| Sep 21, 2022 at 14:26 | comment | added | Steven Gubkin | @GunnarÞórMagnússon Please write that up as an answer! | |
| Sep 21, 2022 at 13:56 | comment | added | Gunnar Þór Magnússon | The inter-chapter references are a little borked, but Prop. III-1.20 should be a local $\partial\bar\partial$ lemma, valid on any complex manifold, and Th. I-3.35 should be Th. I-5.16. The statement (originally a lemma due to Weil) is correct as written; the proof is basically "get a Cech cocycle that represents the class, find local holomorphic representatives, lift those via the exponential function, and use those to cook up the transition functions for the line bundle". | |
| Sep 21, 2022 at 13:07 | history | asked | Tom | CC BY-SA 4.0 |