Timeline for Some questions on vanishing of Ext sheaves
Current License: CC BY-SA 3.0
3 events
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Mar 7, 2014 at 1:38 | comment | added | HNuer | It follows from Grothendieck's vanishing theorem. that Ext group is the same thing as $H^{\dim X-i}(L^{-N}\otimes E(K_X))^*$, and this sheaf has support of dimension $\dim supp(E)$. If $\dim X-i>\dim supp(E)$, then this must vanish by Grothendieck's vanishing theorem. | |
Mar 6, 2014 at 7:54 | comment | added | user133030 | Why is the "this is zero for i<dimX−dimsupp(E)" in the 2nd sentence true? | |
Mar 6, 2014 at 7:34 | history | answered | Sasha | CC BY-SA 3.0 |