Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Cohomology of line bundles on the flag variety $SL_3/B$ can be computed using the Bott-Borel-Weil formula in the case the ground field has characteristic zero. In this way one obtains an explicit formula for the dimensions of the cohomology groups.

Is there a similar formula in the positive characteristic case?

If there is even a generalization to general flag varieties $G/P$, I'd be interested in hearing about that too.

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.