Timeline for Holomorphic trivialization of $(x,y) \subset \mathbb{C}[x,y]/(y^2 - x^3 + x)$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 15, 2014 at 19:56 | vote | accept | solbap | ||
| Apr 15, 2014 at 13:50 | answer | added | David E Speyer | timeline score: 7 | |
| Apr 14, 2014 at 10:55 | comment | added | Francesco Polizzi | Nevermind, I found it. It is actually in the same paper of Grauert quoted in the answer I have linked: H. Grauert, Analytische Faserungen über holomorph-vollständigen Räumen, Math. Ann. 135, 263–273 (1958). See also the paper by Rohrl Holomorphic fiber bundles over Riemann surfaces, Bull. Amer. Math. Soc. Volume 68, Number 3 (1962), 125-238. | |
| Apr 14, 2014 at 10:39 | comment | added | Francesco Polizzi | Are you sure about your statement? Oka-Grauert principle says that on any Stein space (in particular, affine space) the topological and holomorphic classification of vector bundles coincide, see mathoverflow.net/questions/131453/… In particular, holomorphic vector bundles on a contractible affine space $X$ are trivial. But if $X$ is affine but not contractible, as in your case, I do not see how to apply Oka-Grauert to conclude that vector bundles are trivial. Do you have a reference to the result of Grauert you are talking about? | |
| Apr 14, 2014 at 8:12 | answer | added | Sasha | timeline score: -1 | |
| Apr 14, 2014 at 6:55 | history | asked | solbap | CC BY-SA 3.0 |