Timeline for Hodge theory on complex spaces
Current License: CC BY-SA 2.5
11 events
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| Mar 15, 2011 at 12:33 | history | edited | Donu Arapura | CC BY-SA 2.5 |
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| Mar 15, 2011 at 12:26 | comment | added | Donu Arapura | I've expanded this a bit above. | |
| Mar 15, 2011 at 12:23 | history | edited | Donu Arapura | CC BY-SA 2.5 |
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| Mar 14, 2011 at 19:40 | comment | added | Gunnar Þór Magnússon | This is fascinating. Do you know of some references for weighted $L^2$ cohomology? Does it have any relation to singular metrics (like Demailly's singular metrics on line bundles)? | |
| Mar 14, 2011 at 17:31 | comment | added | Sándor Kovács | @Karl: you're certainly not confused, this is correct. In fact: @unknowngoogle: for the topological $H^i$ the non-reduced structure is non-existent so I don't think you can expect any reasonable Hodge theory that remembers that. | |
| Mar 14, 2011 at 14:11 | comment | added | Karl Schwede | The Deligne-Du Bois complexes $\underline \Omega^{\bullet}_X$ that Donu and Sándor mention don't see the non-reduced structure (unless I'm completely confused). | |
| Mar 14, 2011 at 13:50 | history | edited | Donu Arapura | CC BY-SA 2.5 |
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| Mar 14, 2011 at 1:51 | history | edited | Donu Arapura | CC BY-SA 2.5 |
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| Mar 13, 2011 at 15:58 | comment | added | Qfwfq | And what about non-reducedness? Is there still hope to find some relationship between the topological $H^i$ and cohomologies of differentials? (I guess the answer is "no" because in reducing you lose some information...) | |
| Mar 13, 2011 at 14:27 | history | edited | Donu Arapura | CC BY-SA 2.5 |
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| Mar 13, 2011 at 13:58 | history | answered | Donu Arapura | CC BY-SA 2.5 |