Timeline for Does anyone know this seemingly simple result in mixed Hodge theory?
Current License: CC BY-SA 3.0
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Sep 22, 2013 at 16:40 | comment | added | Dan Petersen | Unfortunately I can't include the proof now (I'm posting from my phone) but I'll do it later this evening. | |
Sep 22, 2013 at 16:35 | comment | added | Dan Petersen | Thanks a lot! In fact I think the proof I have is slightly simpler (it doesn't need perverse sheaves or the decomposition theorem), probably I should've included it in the original question. | |
Sep 22, 2013 at 11:44 | history | edited | Geordie Williamson | CC BY-SA 3.0 |
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Sep 22, 2013 at 11:14 | history | edited | Geordie Williamson | CC BY-SA 3.0 |
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Sep 22, 2013 at 10:31 | comment | added | Geordie Williamson | You are right, the problem is "the above remarks imply that $K$ is of weight $\ge 0$", in fact one only gets $K$ of wt $\ge -1$. | |
Sep 22, 2013 at 10:24 | history | edited | Geordie Williamson | CC BY-SA 3.0 |
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Sep 22, 2013 at 9:43 | comment | added | Dan Petersen | Thanks. But it seems you are not using the surjectivity hypothesis anywhere? The result is obviously false without it (think about a closed immersion). | |
Sep 22, 2013 at 9:09 | history | answered | Geordie Williamson | CC BY-SA 3.0 |