Timeline for Degeneration of the Hodge spectral sequence
Current License: CC BY-SA 2.5
13 events
| when toggle format | what | by | license | comment | |
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| Jan 12, 2022 at 20:10 | comment | added | Z. M | Sorry for a silly question: it seems to me that Deligne–Illusie is about lifting along $S\to\tilde S$ where $\tilde S$ is $\mathbb Z/p^2$-flat and $\tilde S\otimes_{\mathbb Z/p^2}\mathbb F_p\cong S$, not $W_2(S)$ (unless $S$ is perfect)? | |
| May 14, 2011 at 18:26 | comment | added | Matt | @Torsten Ekedahl Since this is an old thread, no one will probably look at this, but I wonder if you impose the condition that the CY variety be of finite height (i.e. not supersingular) if you get degeneration of the HdRSS. The example in your paper has infinite height. | |
| Mar 23, 2011 at 16:27 | history | edited | Torsten Wedhorn | CC BY-SA 2.5 |
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| Mar 23, 2011 at 11:42 | comment | added | Torsten Ekedahl | It is not clear that this is related to char 2. In arXiv:math/0306435 I compute the Hodge s.s. of an example of Schröer in char 3 which has trivial canonical bundle and non-degenerate Hodge s.s. | |
| Mar 23, 2011 at 8:30 | vote | accept | Torsten Wedhorn | ||
| Mar 23, 2011 at 8:28 | history | edited | Torsten Wedhorn | CC BY-SA 2.5 |
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| Mar 23, 2011 at 8:22 | comment | added | Torsten Wedhorn | @Torsten Ekedahl: Yes, thank you. I had not thought that the triviality of the canonical bundle is not a good definition for CY in characteristic 2. I edited d). | |
| Mar 21, 2011 at 19:22 | comment | added | Torsten Ekedahl | d) needs some extra condition as is shown by a s.s. Enriques surface in char 2. (It should probably not qualify as Calabi-Yau somehow.) | |
| Mar 21, 2011 at 15:54 | answer | added | Donu Arapura | timeline score: 11 | |
| Mar 19, 2011 at 16:25 | history | edited | Torsten Wedhorn | CC BY-SA 2.5 |
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| Mar 18, 2011 at 19:03 | history | edited | Torsten Wedhorn | CC BY-SA 2.5 |
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| Mar 18, 2011 at 14:41 | comment | added | Donu Arapura | This is a good question. I don't know many examples beyond the ones you listed. Things like Grassmanian bundles can be added to b. More generally, any time the Hodge numbers are concentrated along the diagonal ($h^{pq}=0$ for $p\not= q$), the spectral sequence trivially degenerates. | |
| Mar 18, 2011 at 12:36 | history | asked | Torsten Wedhorn | CC BY-SA 2.5 |