Article Dans Une Revue Documenta Mathematica Année : 2021

Intermediate extensions and crystalline distribution algebras

Résumé

Let G be a connected split reductive group over a complete discrete valuation ring of mixed characteristic. We use the theory of intermediate extensions due to Abe-Caro and arithmetic Beilinson-Bernstein localization to classify irreducible modules over the crystalline distribution algebra of G in terms of overconvergent isocrystals on locally closed subspaces in the (formal) flag variety of G. We treat the case of SL(2) as an example.

Dates et versions

hal-03059360 , version 1 (12-12-2020)

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Christine Huyghe, Tobias Schmidt. Intermediate extensions and crystalline distribution algebras. Documenta Mathematica, 2021, 26, pp.2005-2059. ⟨10.25537/dm.2021v26.2005-2059⟩. ⟨hal-03059360⟩
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