Geodesic
Intermediate extensions and crystalline distribution algebras
Documenta mathematica, Tome 26 (2021), pp. 2005-2059 Cet article a éte moissonné depuis la source EMS Press

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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 flag variety of G. We treat the case of SL2​ as an example.
DOI : 10.4171/dm/863
Classification : 11F70, 14F10, 14F30, 14G20
Mots-clés : arithmetic differential operators, intermediate extensions, crystalline distributions 
@article{10_4171_dm_863,
     author = {Christine Huyghe and Tobias Schmidt},
     title = {Intermediate extensions and crystalline distribution algebras},
     journal = {Documenta mathematica},
     pages = {2005--2059},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/863},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/863/}
}
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Christine Huyghe; Tobias Schmidt. Intermediate extensions and crystalline distribution algebras. Documenta mathematica, Tome 26 (2021), pp. 2005-2059. doi: 10.4171/dm/863

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