Timeline for Birkhoff decomposition vanishing of the Chern numbers
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 22, 2014 at 6:53 | vote | accept | CommunityBot | ||
| Jan 2, 2014 at 21:37 | comment | added | user39066 | I just read the paper, and abx answer is great too. Never too late to catch up on 1957 knowledge. It was a clear and reasonably detailed exposition. | |
| Jan 2, 2014 at 16:01 | comment | added | Damian Rössler | An elementary proof can be found in Lemma 7 of Atiyah, M. F. Vector bundles over an elliptic curve. Proc. London Math. Soc. (3) 7 1957 414–452 (this is a variant of the answer by abx). | |
| Jan 2, 2014 at 7:41 | answer | added | abx | timeline score: 2 | |
| Jan 2, 2014 at 2:35 | comment | added | user39066 | Well, to be honest complex analytically I would understand better, but then again an algebraic proof would work for the paper I am kind of writing since there is quite a bit of stuff with hopf algebra already in it. To really answer your question I am mostly self taught in both. Can you proof in one then sketch out the procedure in the other perhaps. I know I am asking for a lot here, . . . | |
| Jan 2, 2014 at 2:22 | comment | added | Jason Starr | What is your background? This can be proved complex analytically, but it can also be proved algebraically. | |
| Jan 2, 2014 at 2:04 | comment | added | user39066 | I would love to know an elementary proof of the result, one that I can sort of understand | |
| Jan 2, 2014 at 1:22 | comment | added | Jason Starr | Are you asking about the result of Birkhoff-Grothendieck (and, earlier, Del Pezzo - Bertini if one properly interprets the classification of varieties of minimal degree) that every holomorphic vector bundle over the Riemann sphere is isomorphic to a direct sum of holomorphic line bundles? What precisely would you like to know about this result? | |
| Jan 2, 2014 at 1:05 | history | asked | user39066 | CC BY-SA 3.0 |