Timeline for Hodge theory and varieties defined over subfields of the complex numbers
Current License: CC BY-SA 3.0
11 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Nov 15, 2011 at 16:12 | vote | accept | Moosbrugger | ||
| Oct 7, 2011 at 11:09 | answer | added | Donu Arapura | timeline score: 4 | |
| Oct 7, 2011 at 8:36 | comment | added | Leo Alonso | I've retagged it. I hope this will give more visibility to the question. | |
| Oct 7, 2011 at 8:35 | history | edited | Leo Alonso |
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| Oct 7, 2011 at 8:34 | history | edited | Leo Alonso |
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| Oct 7, 2011 at 8:33 | history | edited | Leo Alonso |
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| Oct 7, 2011 at 3:07 | answer | added | Emerton | timeline score: 4 | |
| Sep 28, 2011 at 12:19 | comment | added | Moosbrugger | I think at least the Hodge filtration should be. The weight filtration is of a somewhat more Betti-origin, so I wouldn't be so surprised to find an example where it's not geometric in this way. But it's quite non-trivial to extract anything like this from Saito -- the set-up uses polarizations (and therefore the real numbers) in a quite non-trivial way. | |
| Sep 28, 2011 at 6:46 | comment | added | Emerton | Dear Moosbrugger, I wouldn't like to try and prove it, but if $M$ is of geometric origin over $K$, then I think that both the Hodge and the weight filtrations should be defined over $K$. Regards, Matthew | |
| Sep 28, 2011 at 2:21 | history | asked | Moosbrugger | CC BY-SA 3.0 |