Incarnations of Berthelot's conjecture

DOI10.1016/J.JNT.2016.02.028zbMath1375.14078arXiv1508.06787OpenAlexW1957487067WikidataQ123198101 ScholiaQ123198101MaRDI QIDQ273449

Christopher Lazda

Publication date: 22 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06787

zbMATH Keywords

\(p\)-adic cohomologyarithmetic \(\mathcal{D}\)-modulesBerthelot's conjectureoverconvergent \(F\)-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 (8)

Deformations of overconvergent isocrystals on the projective line ⋮ Chern classes of crystals ⋮ The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\) ⋮ Specialization of Néron-Severi groups in positive characteristic ⋮ A variational Tate conjecture in crystalline cohomology ⋮ On higher direct images of convergent isocrystals ⋮ 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

• Direct images. I: Rigid analytic spaces and direct images
• Full faithfulness without Frobenius structure and partially overconvergent isocrystals
• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• On base change theorem and coherence in rigid cohomology
• Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions.
• Étale homotopy equivalence of rational points on algebraic varieties
• Clemens-Schmid exact sequence in characteristic \(p\)
• Cohomological descent of rigid cohomology for étale coverings
• $\mathcal{D}$-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse
• Géométrie rigide et cohomologie des variétés algébriques de caractéristique $p$
• Relative log convergent cohomology and relative rigid cohomology II
• Chern classes of crystals
• Descente étale des F-isocristaux surconvergents et rationalité des fonctions L de schémas abéliens
• Image directe supérieure et unipotence
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• On the stability of the overconvergence under the direct image by a proper smooth morphism
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