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 19:29 | comment | added | Jim Humphreys |
Ampleness does seem to be critical condition here, as noted in Torsten's answer and my comment. For flag varieties in char $p$, the ample case (or Serre dual) is nice due to Kempf's theorem whereas lots of extra non-vanishing shows up for some nonample line bundles. This seems to occur in orderly but complicated patterns for characters of a maximal torus lying "close to" Weyl chamber walls. But the picture is incomplete.
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| Nov 10, 2010 at 8:30 | history | answered | Francesco Polizzi | CC BY-SA 2.5 |