Timeline for Smoothness of the quotient surface by an involution with nice fixed locus
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Mar 3, 2014 at 12:00 | vote | accept | Heitor | ||
| Nov 29, 2013 at 17:48 | comment | added | abx | This is true is up to multiplication by 2 : there is a homomorphism $Nm: \mathrm{Pic}(X)\rightarrow \mathrm{Pic}(Y)$ such that $\pi ^*Nm(L)=L\otimes \theta ^*L$. Thus if $L$ is $\theta $-invariant, $L^2$ belongs to $\pi ^*S_Y$. | |
| Nov 29, 2013 at 17:32 | comment | added | Heitor | Dear abx, if I understand correctly what you are saying is that in general $S(\theta)=\pi^\ast S_Y$, where $S_Y$ is the Picard group of $Y$ and $S(\theta)$ are the $\theta$-fixed elements of $S_X$. Could you please explain me why is this true? | |
| Nov 29, 2013 at 17:14 | history | undeleted | abx | ||
| Nov 29, 2013 at 17:12 | history | deleted | abx | via Vote | |
| Nov 29, 2013 at 17:12 | history | answered | abx | CC BY-SA 3.0 |