Timeline for Software for Borel-Weil-Bott in positive characteristic?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/
|
|
| Oct 17, 2011 at 15:46 | comment | added | Chuck Hague | I don't know a lot about this story, but the cohomology of a homogeneous line bundle on a Grassmannian should be equal to the cohomology of a line bundle on the flag variety in type A corresponding to a weight that vanishes on all but one coroot, which is a very special case. Perhaps there is an algorithm in that case? (There might be some helpful comments in Jantzen's Representations of Algebraic Groups as well). | |
| Oct 15, 2011 at 17:03 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
deleted 1 characters in body
|
| Oct 15, 2011 at 16:52 | history | edited | Jim Humphreys | CC BY-SA 3.0 |
added 1111 characters in body; deleted 5 characters in body
|
| Oct 14, 2011 at 21:39 | comment | added | Steven Sam | I sort of suspected that what I want does not exist. But your answer is still great, and I think I can learn a lot from these references. Also, presumably your reference to Mumford's student is to the paper W. Griffith, "Cohomology of flag varieties in characteristic $p$". This gives the complete answer for $A_2$ (at least for when Bott's theorem fails) with a simple rule and I really like it. | |
| Oct 14, 2011 at 20:38 | history | answered | Jim Humphreys | CC BY-SA 3.0 |