On higher direct images of convergent isocrystals

DOI10.1112/S0010437X19007590zbMath1430.14050arXiv1802.09060WikidataQ127208598 ScholiaQ127208598MaRDI QIDQ5237205

Daxin Xu

Publication date: 17 October 2019

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

Full work available at URL: https://arxiv.org/abs/1802.09060

zbMATH Keywords

\(p\)-adic cohomologycrystalline cohomologyconvergent isocrystals

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

A prismatic approach to crystalline local systems ⋮ Slopes of \(F\)-isocrystals over abelian varieties ⋮ CONSTANCY OF NEWTON POLYGONS OF -ISOCRYSTALS ON ABELIAN VARIETIES AND ISOTRIVIALITY OF FAMILIES OF CURVES ⋮ A crystalline incarnation of Berthelot’s conjecture and Künneth formula for isocrystals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Incarnations of Berthelot's conjecture
• Direct images. I: Rigid analytic spaces and direct images
• Elements of rigid geometry. Vol. I. Construction and geometric study of rigid spaces
• Nonabelian Hodge theory in characteristic \(p\)
• Good formal structures for flat meromorphic connections. I: Surfaces
• Théorie de Dieudonne cristalline. II
• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Smoothness, semi-stability and alterations
• On base change theorem and coherence in rigid cohomology
• A variational Tate conjecture in crystalline cohomology
• Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• The p-adic Simpson Correspondence
• Géométrie rigide et cohomologie des variétés algébriques de caractéristique $p$
• Notes on Crystalline Cohomology. (MN-21)
• Coherent modules and their descent on relative rigid spaces
• ${\cal D}$-modules arithmétiques. II: Descente par Frobenius
• Relative log convergent cohomology and relative rigid cohomology II
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• Lifting the Carter Transform of Ogus-Vologodsky modulo p^n
• On the stability of the overconvergence under the direct image by a proper smooth morphism
• PD Higgs crystals and Higgs cohomology in characteristic $p$
• A crystalline incarnation of Berthelot’s conjecture and Künneth formula for isocrystals

This page was built for publication: On higher direct images of convergent isocrystals