Timeline for Non-vanishing cohomology of line bundles on projective varieties in prime characteristic?
Current License: CC BY-SA 2.5
2 events
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| Nov 10, 2010 at 19:20 | comment | added | Jim Humphreys |
For flag varieties at least, the non-vanishing for many line bundles behaves in totally different ways in char 0 and char $p$, though Kempf (1976) did show that ample line bundles (corresponding to dominant characters) behave "classically" even in char $p$. Perhaps my concern is partly to distinguish flag varieties from other projective varieties, where as you observe the non-vanishing may be less related to the underlying characteristic.
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| Nov 10, 2010 at 15:53 | history | answered | Torsten Ekedahl | CC BY-SA 2.5 |