Un théorème de Beilinson-Bernstein pour les $\mathcal{D}$-modules arithmétiques

DOI10.24033/bsmf.2572zbMath1171.14014arXiv0704.3962OpenAlexW1748144265MaRDI QIDQ5190976

Christine Noot-Huyghe

Publication date: 28 July 2009

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3962

zbMATH Keywords

affinityflag varietyarithmetic differential operators

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

Differential equations and Lie group representations ⋮ On irreducible representations of compact \(p\)-adic analytic groups ⋮ \(G\)-equivariance of formal models of flag varieties ⋮ On locally analytic Beilinson-Bernstein localization and the canonical dimension ⋮ \(\mathcal{D}\)-arithmetic modules on the flag variety ⋮ Arithmetic differential operators on a semistable model of \(\mathbb{P}^1\) ⋮ Intermediate extensions and crystalline distribution algebras ⋮ ARITHMETIC STRUCTURES FOR DIFFERENTIAL OPERATORS ON FORMAL SCHEMES

Cites Work

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• Über Differentialoperatoren und \({\mathcal D}\)-Moduln in positiver Charakteristik. (On differential operators and \({\mathcal D}\)- modules in positive characteristic)
• Representations of Coxeter groups and Hecke algebras
• Local cohomology and \(\mathcal D\)-affinity in positive characteristic
• Localization of modules for a semisimple Lie algebra in prime characteristic (with an appendix by R. Bezrukavnikov and S. Riche, Computation for \(\text{sl}(3))\)
• Néron Models
• Notes on Crystalline Cohomology. (MN-21)
• Geometric Invariant Theory
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini

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