Timeline for when a birational morphism is an isomorphism?
Current License: CC BY-SA 3.0
8 events
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Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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Oct 10, 2013 at 9:16 | vote | accept | Heitor | ||
Oct 9, 2013 at 15:00 | answer | added | abx | timeline score: 1 | |
Oct 9, 2013 at 14:06 | comment | added | Mohan | In your case, $\phi_*\mathcal{O}_X$ would be the normalization of $\mathcal{O}_Y$ and if the above equality on global sections hold, it will easily prove that $Y$ is normal, from the exact sequence,$$0\to \mathcal{O}_Y\to\phi_*\mathcal{O}_X\to \mathrm{coker}\to 0,$$ and tensoring with $\mathcal{O}_Y(r)$. | |
Oct 9, 2013 at 11:12 | review | First posts | |||
Oct 9, 2013 at 11:18 | |||||
Oct 9, 2013 at 11:10 | history | undeleted | Heitor | ||
Oct 9, 2013 at 10:25 | history | deleted | Heitor | via Vote | |
Oct 9, 2013 at 10:21 | history | asked | Heitor | CC BY-SA 3.0 |