Timeline for How the multi-rank of a torsion free sheaf on a non-reduced scheme is defined?
Current License: CC BY-SA 2.5
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| Jan 25, 2011 at 18:20 | vote | accept | Dmitry Kerner | ||
| Nov 21, 2010 at 5:57 | history | edited | jlk | CC BY-SA 2.5 |
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| Nov 21, 2010 at 5:38 | comment | added | jlk | @qui-vadis: Sorry, I just noticed this comment. The rank that Simpson uses is always an integer, but it does take into account the non-reduced structure. I added an example to illustrate what happens for non-reduced schemes. | |
| Nov 21, 2010 at 5:37 | history | edited | jlk | CC BY-SA 2.5 |
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| Nov 17, 2010 at 4:13 | comment | added | Dmitry Kerner | Thanks. (Though I would prefer some standard textbook). It seems his rank coincides with the rank of the sheaf restricted to the reduced locus. (In particular his rank is always integer.) I need the rank of the sheaf on the genuine non-reduced scheme... | |
| Nov 16, 2010 at 6:15 | history | answered | jlk | CC BY-SA 2.5 |