Timeline for Holomorphic vector bundles over a Riemann surface does not satisfy $\mathbf{AB2}$ but satisfies $\mathbf{AB1}$
Current License: CC BY-SA 3.0
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Jun 23, 2014 at 22:49 | vote | accept | user40276 | ||
May 30, 2014 at 15:28 | comment | added | dhy | The splitting basically comes from the theory of Dedekind domains: the function field of an affine curve over an algebraically closed field is a Dedekind domain, and you have such a splitting for any Dedekind domain. The case of a projective curve reduces to the case of an affine curve because the problem is local. | |
May 30, 2014 at 12:38 | comment | added | user40276 | Thanks, this is indeed an answer (not just a comment). Do you know where can I find about this splitting. Does this (the splitting) hold for any algebraic curve over an algebraically closed field? Any references? | |
May 30, 2014 at 6:05 | review | First posts | |||
May 30, 2014 at 6:14 | |||||
May 30, 2014 at 5:47 | history | answered | dhy | CC BY-SA 3.0 |