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arXiv · 1405.5160

Quasi-coherent Hecke category and Demazure Descent

Sergey Arkhipov·Tina Kanstrup
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Abstract

Let G be a reductive algebraic group with a Borel subgroup B. We define the quasi-coherent Hecke category for the pair (G,B). For any regular Noetherian G-scheme X we construct a monoidal action of the Hecke category on the derived category of B-equivariant quasi-coherent sheaves on X. Using the action we define the Demazure Descent Data on the latter category and prove that the Descent category is equivalent to the derived category of G-equivariant sheaves on X.

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BibTeXRIS

Sergey Arkhipov, Tina Kanstrup. 2014-05-20. Quasi-coherent Hecke category and Demazure Descent. https://arxiv.org/abs/1405.5160

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