Timeline for Simplest example of jumping of cohomology of structure sheaf in smooth families?
Current License: CC BY-SA 3.0
7 events
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| Jul 25, 2011 at 7:39 | comment | added | Torsten Ekedahl | On the other hand the Raynaud method seems to work, see separate answer. | |
| Jul 24, 2011 at 14:26 | comment | added | Sándor Kovács | Torsten, thanks! This was just an amateur idea. Cheers! | |
| Jul 24, 2011 at 7:07 | comment | added | Torsten Ekedahl | My example seems generic in the sense that I think that my construction of examples probably gives a component in the moduli space of surfaces so I don't think it will work. The examples based on (generalisations of) Raynaud's construction looks more promising. | |
| Jul 23, 2011 at 14:15 | comment | added | Ravi Vakil | This definitely is a helpful example of type #2 --- it would be great to see this worked out in more detail. I like that this example bootstraps on another fundamental (counter)example, the failure of Kodaira vanishing. | |
| Jul 22, 2011 at 3:53 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
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| Jul 22, 2011 at 3:35 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
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| Jul 22, 2011 at 3:27 | history | answered | Sándor Kovács | CC BY-SA 3.0 |