Cohomologie des fibr\'es en droites sur SL3 /B en caract\'eristique positive : deux filtrations et cons\'equences

DOI10.4171/JEMS/1310arXiv1903.08758OpenAlexW4318261353MaRDI QIDQ6315971

Linyuan Liu

Publication date: 20 March 2019

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.

Full work available at URL: https://doi.org/10.4171/jems/1310

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15)

Related Items (1)

Cohomology of line bundles on the incidence correspondence

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