Timeline for Ample line bundle and Duality
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 26, 2011 at 11:05 | vote | accept | user14199 | ||
| Apr 19, 2011 at 3:03 | answer | added | Sándor Kovács | timeline score: 4 | |
| Apr 18, 2011 at 20:05 | vote | accept | user14199 | ||
| Apr 18, 2011 at 20:06 | |||||
| Apr 18, 2011 at 16:10 | history | edited | user14199 | CC BY-SA 3.0 |
added 139 characters in body
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| Apr 18, 2011 at 15:55 | comment | added | Karl Schwede | Perhaps you wanted $M$ to be a line bundle or maybe a vector bundle? | |
| Apr 18, 2011 at 15:53 | answer | added | Karl Schwede | timeline score: 7 | |
| Apr 18, 2011 at 15:52 | comment | added | Laurent Moret-Bailly |
It follows that $X$ is finite: if $x$ is a closed point of $X$ and $M$ is the skyscraper sheaf $\mathcal{O}_{\{x\}}$, then $H^0(X,L^{\otimes r}\otimes M)\neq0$ for all $r$, hence your assumption implies that $\dim X=0$.
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| Apr 18, 2011 at 15:35 | history | asked | user14199 | CC BY-SA 3.0 |