Timeline for Deformations of Calabi-Yau manifolds
Current License: CC BY-SA 3.0
7 events
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| Mar 26, 2018 at 15:00 | comment | added | Piotr Achinger | Another argument that Nakamura's example requires the non-degeneration of the Hodge-de Rham spectral sequence: if $X$ has trivial tangent bundle and $d\colon H^0(X, \Omega^1_X)\to H^0(X, \Omega^2_X)$ is zero, then dually we get $\dim X$ commuting vector fields giving a basis at every point. Integrating them, we see that $X$ is a complex torus. I wonder if there is an analogous example of a variety with trivial tangent bundle in characteristic $p$ which is not isogenous to an abelian variety. (Mehta and Srinivas prove in their ingenious paper that this is impossible for ordinary varieties.) | |
| Mar 26, 2018 at 10:18 | comment | added | Piotr Achinger | Very cool answer! | |
| Mar 26, 2018 at 6:43 | history | edited | YangMills | CC BY-SA 3.0 |
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| Mar 26, 2018 at 4:41 | history | edited | YangMills | CC BY-SA 3.0 |
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| Mar 26, 2018 at 3:34 | vote | accept | asv | ||
| Mar 25, 2018 at 19:21 | history | edited | YangMills | CC BY-SA 3.0 |
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| Mar 25, 2018 at 19:09 | history | answered | YangMills | CC BY-SA 3.0 |