Timeline for Are abelian varieties degree two covers of some projective space
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 20, 2016 at 22:39 | comment | added | Tong | How to prove that any $\mathbb{P}^n$ is finitely covered by an Abelian variety of the same dimension? Maybe it is elementary, but I can not see it. | |
| Aug 1, 2012 at 14:35 | comment | added | Jason Starr | @ulrich -- I agree. | |
| Aug 1, 2012 at 13:33 | comment | added | naf | Your argument works for any abelian variety of dimension at least $3$: by Riemann-Roch, $g!$ divides $D^g$ for any ample divisor $D$. One can also eliminate the $g=2$ case using the fact that any double cover of $\mathbb{P}^2$ with trivial canonical bundle is a $K3$ surface. | |
| Aug 1, 2012 at 13:22 | vote | accept | Harry | ||
| Aug 1, 2012 at 13:13 | history | edited | Jason Starr | CC BY-SA 3.0 |
One clarification
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| Aug 1, 2012 at 13:04 | history | answered | Jason Starr | CC BY-SA 3.0 |