Timeline for Does trivial on local cohomology implies trivial on global cohomology?
Current License: CC BY-SA 2.5
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| Nov 27, 2010 at 4:27 | comment | added | Sasha | No. The same can be with vector spaces as well. For example consider an extension of $O$ by $O(-2)$ on $P^1$. It can be viewed as a map $O \to O(-2)[1]#. The map on local cohomology is zero, but on global is not. | |
| Nov 26, 2010 at 21:50 | comment | added | domenico fiorenza | Thanks. I guess with sheaves of vector spaces this cannot happen, and local triviality implies global triviality, right? | |
| Nov 26, 2010 at 21:48 | vote | accept | domenico fiorenza | ||
| Nov 26, 2010 at 21:46 | history | answered | Torsten Ekedahl | CC BY-SA 2.5 |