Timeline for A moduli problem inspired by Stein factorization
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 11, 2015 at 7:32 | vote | accept | Ron | ||
| Nov 11, 2015 at 4:17 | answer | added | Karl Schwede | timeline score: 7 | |
| Nov 10, 2015 at 18:58 | comment | added | Ron | @KarlSchwede I have edited the question to isomorphic to the trivial bundle. Could you please suggest some reference for your first comment. | |
| Nov 10, 2015 at 18:56 | history | edited | Ron | CC BY-SA 3.0 |
added 14 characters in body
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| Nov 10, 2015 at 18:51 | comment | added | Karl Schwede | Also, you should clarify your problem. Do you want $f_* \mathcal{L}$ to be equal to the trivial sheaf, or isomorphic to it? | |
| Nov 10, 2015 at 18:49 | comment | added | Karl Schwede | I'm not sure a moduli space would be the right thing to expect. However, it should be easy to exactly characterize what sheaves these are. Up to isomorphism, these are exactly the sheaves of the form $O_X(D)$ where $D$ is effective and exceptional. For instance if $Y$ is $\mathbb{A}^2$ and $X$ is the blowup of $Y$ at the origin, then the set of such sheaves up to isomorphism is in bijection with the natural numbers. | |
| Nov 10, 2015 at 18:45 | history | undeleted | Ron | ||
| Nov 10, 2015 at 18:43 | history | deleted | Ron | via Vote | |
| Nov 10, 2015 at 18:25 | history | asked | Ron | CC BY-SA 3.0 |