Intermediate extensions and crystalline distribution algebras

DOI10.25537/dm.2021v26.2005-2059zbMath1492.14031arXiv2005.05231MaRDI QIDQ2068122

Tobias Schmidt, Christine Noot-Huyghe

Publication date: 19 January 2022

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05231

zbMATH Keywords

intermediate extensionsarithmetic differential operatorscrystalline distributions

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Representation-theoretic methods; automorphic representations over local and global fields (11F70) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Holonomicity without Frobenius structure
• Full faithfulness without Frobenius structure and partially overconvergent isocrystals
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Kazhdan-Lusztig conjecture and holonomic systems
• On Whittaker vectors and representation theory
• Algebras of \(p\)-adic distributions and admissible representations
• Distribution algebras and arithmetic \(\mathcal{D}\)-modules
• On Beilinson's equivalence for \(p\)-adic cohomology
• Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions.
• Crystalline Dieudonné module theory via formal and rigid geometry
• \(\mathscr{D}^{\dagger}\)-affinity of formal models of flag varieties
• \(\mathcal{D}\)-arithmetic modules on the flag variety
• Verma modules over \(p\)-adic Arens-Michael envelopes of reductive Lie algebras
• On the crystalline cohomology of Deligne-Lusztig varieties
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• Endomorphism algebras of admissible 𝑝-adic representations of 𝑝-adic Lie groups
• La surcohérence entraîne l'holonomie
• Stabilité de l’holonomie sur les variétés quasi-projectives
• Representations of SL2(Fq)
• $\mathcal{D}$-modules arithmétiques surholonomes
• $\mathcal{D}$-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse
• Finite local monodromy of overconvergent unit-root F -isocrystals on a curve
• ${\cal D}$-modules arithmétiques. II: Descente par Frobenius
• Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques
• Theory of weights in p-adic cohomology
• Convergent isocrystals on simply connected varieties
• Duality for admissible locally analytic representations
• Théorèmes de division sur $\widehat{\cal D}^{(0)}_{{\cal X}\bbfQ}$ et applications
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• Un théorème de Beilinson-Bernstein pour les $\mathcal{D}$-modules arithmétiques
• Twisted Harish–Chandra Sheaves and Whittaker Modules: The Nondegenerate Case
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups
• Representations of a Semisimple Lie Group on a Banach Space. I
• On the index theorem for \(p\)-adic differential equations. IV

This page was built for publication: Intermediate extensions and crystalline distribution algebras