Intermediate extensions and crystalline distribution algebras
Algebraic Geometry
2020-05-12 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.2005.05231,
title = {Intermediate extensions and crystalline distribution algebras},
author = {Christine Huyghe and Tobias Schmidt},
journal= {arXiv preprint arXiv:2005.05231},
year = {2020}
}
Comments
38 pages