Cohomologie des fibrés en droites sur SL3 /B en caractéristique positive : deux filtrations et conséquences

Abstract

In this thesis, I will prove the existence of two filtrations of the cohomology of line bundles on SL_3/B. The first one is a two-step filtration that exists for $H^1(\mu )$ and $H^2(\mu )$ if $\mu$ is in the Griffith region. The second one exists for all $H^i(\mu )$, which is similar to the p-filtration that has been considered by Jens Carsten Jantzen.

arXiv commentin French

Cited by in corpus (2)

• On the cohomology of line bundles over certain flag schemes II
• Even-carry polynomials and cohomology of line bundles on the incidence correspondence in positive characteristic