$F$-isocrystals and their monodromy groups

DOI10.24033/asens.1655zbMath0783.14008OpenAlexW158828387MaRDI QIDQ4022712

Richard Crew

Publication date: 17 January 1993

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1992_4_25_4_429_0

zbMATH Keywords

overconvergent \(F\)-isocrystalsmonodromy-groupsunit root crystals

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30)

Related Items

Notes on isocrystals, A note on effective descent for overconvergent isocrystals, The differential Galois theory of regular singular \(p\)-adic differential equations, The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\), Langlands correspondence for isocrystals and the existence of crystalline companions for curves, \(F\)-isocrystals and homotopy types, Parabolicity conjecture of \(F\)-isocrystals, Langlands program for \(p\)-adic coefficients and the petits camarades conjecture, Specialization of Néron-Severi groups in positive characteristic, Slopes of \(F\)-isocrystals over abelian varieties, Drinfeld's lemma for F-isocrystals, II: Tannakian approach, Minimal slope conjecture of \(F\)-isocrystals, On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field, DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS, A homotopy exact sequence for overconvergent isocrystals, Holonomy of arithmetic \(\mathcal D\)-modules associated with overconvergent \(F\)-isocrystals over smooth curves, Rank 2 local systems and abelian varieties, Unnamed Item, Hilbert modular forms and p-adic Hodge theory, Arithmetic of Shimura varieties. Abstracts from the workshop held January 13--19, 2019, The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals, Weights in rigid cohomology applications to unipotent F-isocrystals, Morphisms of \(F\)-isocrystals and the finite monodromy theorem for unit-root \(F\)-isocrystals., Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve, Bessel \(F\)-isocrystals for reductive groups

Cites Work

• Unnamed Item
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• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• On the calculation of some differential Galois groups
• La conjecture de Weil. II
• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• Specialization of crystalline cohomology
• Categories tannakiennes
• Géométrie rigide et cohomologie des variétés algébriques de caractéristique $p$
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC