Timeline for Preimage of smooth curves under morphism of smooth varieties
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 13, 2014 at 13:13 | vote | accept | Hans | ||
| Aug 13, 2014 at 12:25 | answer | added | Will Sawin | timeline score: 5 | |
| Aug 13, 2014 at 12:11 | comment | added | Hans | Okay thanks again. At the moment, I can't see whether my problem reduces to such a situation. | |
| Aug 13, 2014 at 11:59 | history | edited | Hans | CC BY-SA 3.0 |
added 99 characters in body
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| Aug 13, 2014 at 11:50 | history | edited | Hans | CC BY-SA 3.0 |
added 133 characters in body
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| Aug 13, 2014 at 11:45 | comment | added | Yusuf Mustopa | I figured that this might be the case. You are still okay if $y$ is in the smooth locus of the underlying reduced scheme $B_{red}.$ However, you may want to edit the question to emphasize your interest in the branch point case. | |
| Aug 13, 2014 at 11:43 | comment | added | Hans | Thank you. But in fact, the case where $y$ is in the branch locus is the case where I am interested in. | |
| Aug 13, 2014 at 11:37 | comment | added | Yusuf Mustopa | Is $y \in Y$ allowed to be in the branch divisor $B$ of $f$? If not, 1 and 3 can be settled by taking $C$ to be a complete intersection of sufficiently ample divisors on $Y$ such that $C$ contains $y$ and intersects $B$ transversally (this follows from Bertini). | |
| Aug 13, 2014 at 11:31 | history | asked | Hans | CC BY-SA 3.0 |