Timeline for Quotient of an abelian surface by an antisymplectic involution
Current License: CC BY-SA 3.0
4 events
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Sep 26, 2013 at 12:02 | comment | added | rita | @Misha: the map that switches factors is antisymplectic, since $dx\wedge dy$ goes to $dy\wedge dx$. | |
Sep 26, 2013 at 6:40 | comment | added | Misha Verbitsky | the map which switches two factors is symplectic, and we need antisymplectic | |
Sep 25, 2013 at 21:38 | comment | added | Will Sawin | What about the map $T \times T \to T \times T$ that switches the two factors? One can't always write the original torus as a product of the subtorus and the quotient torus. However you can do this up to $2$-torsion so $Sym^2(T)$ is the only counterexample. | |
Sep 25, 2013 at 14:21 | history | answered | Misha Verbitsky | CC BY-SA 3.0 |