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arXiv · 1903.08758

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

Linyuan Liu
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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 $H^1(μ)$ and $H^2(μ)$ if $μ$ is in the Griffith region. The second one exists for all $H^i(μ)$, which is similar to the p-filtration that has been considered by Jens Carsten Jantzen.

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BibTeXRIS

Linyuan Liu. 2020-11-12. Cohomologie des fibrés en droites sur SL3 /B en caractéristique positive : deux filtrations et conséquences. https://arxiv.org/abs/1903.08758

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