Drinfeld's lemma for F-isocrystals, II: Tannakian approach

DOI10.1112/s0010437x23007571arXiv2210.14872WikidataQ124840446 ScholiaQ124840446MaRDI QIDQ6181108

Daxin Xu, Kiran S. Kedlaya

Publication date: 2 January 2024

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

Full work available at URL: https://arxiv.org/abs/2210.14872

zbMATH Keywords

\(p\)-adic cohomologyoverconvergent isocrystalsDrinfeld's lemma

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) (p)-adic cohomology, crystalline cohomology (14F30) Geometric Langlands program (algebro-geometric aspects) (14D24)

Cites Work

• Explicit calculation of Frobenius isomorphisms and Poincaré duality in the theory of arithmetic \(\mathcal D\)-modules
• Cut-by-curves criterion for the log extendability of overconvergent isocrystals
• Purity for overconvergence
• The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals
• La conjecture de Weil. II
• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• Seminaire de géométrie algébrique du Bois-Marie 1965-66 SGA 5 dirige par A. Grothendieck avec la collaboration de I. Bucur, C. Houzel, L. Illusie, J.-P. Jouanolou et J. -P. Serre. Cohomologie \(\ell\)-adique et fonctions L
• Smoothness, semi-stability and alterations
• \(p\)-adic representations and differential equations
• Hasse-Arf filtrations and \(p\)-adic monodromy.
• Analogue \(p\)-adique du théorème de Turrittin et le théorème de la monodromie \(p\)-adique.
• Langlands program for \(p\)-adic coefficients and the petits camarades conjecture
• On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field
• A \(p\)-adic local monodromy theorem
• Slopes of indecomposable \(F\)-isocrystals
• Kloosterman sheaves for reductive groups
• Bessel \(F\)-isocrystals for reductive groups
• Notes on isocrystals
• A note on effective descent for overconvergent isocrystals
• Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate \((\varphi, \Gamma)\)-modules
• $F$-isocrystals and their monodromy groups
• Langlands correspondence for isocrystals and the existence of crystalline companions for curves
• Theory of weights in p-adic cohomology
• Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
• On the Universal Extensions in Tannakian Categories
• Etale and crystalline companions, I
• A Lefschetz theorem for overconvergent isocrystals with Frobenius structure
• Facteurs epsilon p-adiques
• Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Drinfeld's lemma for F-isocrystals, II: Tannakian approach