The cohomology of Deligne-Lusztig varieties for the general linear group
Sascha Orlik
TL;DR
This paper introduces two inductive methods to compute the cohomology of Deligne-Lusztig varieties specifically for the general linear group, advancing understanding in algebraic geometry and representation theory.
Contribution
It presents novel inductive approaches for calculating the cohomology of Deligne-Lusztig varieties in the context of the general linear group.
Findings
Two new inductive methods for cohomology computation
Application of methods to specific cases of the general linear group
Potential simplification of cohomology calculations
Abstract
We propose two inductive approaches for determining the cohomology of Deligne-Lusztig varieties in the case of the general linear group
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