Timeline for What is the nature of the zero locus of a section of a coherent sheaf?
Current License: CC BY-SA 2.5
5 events
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| Mar 26, 2021 at 19:23 | comment | added | DKS | This is an old post, but is it known that these sets are constructible (in the scheme-theoretic setting)? A reference would be great. | |
| Jan 24, 2011 at 21:32 | comment | added | Ramsey | Nice example indeed, t3suji! I guess the local go-to example of a non-fat but torsion-free module would have been a good place to start :) | |
| Jan 24, 2011 at 20:57 | comment | added | Georges Elencwajg | Neat example, t3suji ! | |
| Jan 24, 2011 at 20:07 | comment | added | t3suji | Even if F is torsion-free, the zero locus of a section need not be closed. Example: X=plane, F=ideal sheaf of the origin, f=linear function (vanishing at the origin). I doubt you can say more than constructibility. | |
| Jan 24, 2011 at 18:07 | history | asked | Ramsey | CC BY-SA 2.5 |