Log-isocristaux surconvergents et holonomie
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Publication:3655520
DOI10.1112/S0010437X09004199zbMath1308.14018arXivmath/0603587OpenAlexW2040434456MaRDI QIDQ3655520
Publication date: 8 January 2010
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603587
Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) (p)-adic cohomology, crystalline cohomology (14F30)
Related Items (5)
Differential equations and Lie group representations ⋮ Lagrangianity for log extendable overconvergent \(F\)-isocrystals ⋮ Logarithmic \(p\)-bases and arithmetical differential modules ⋮ Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties ⋮ Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules
Cites Work
- Finiteness of the homological dimension of weakly complete algebras of differential operator with overconvergent coefficients
- Weight filtrations on log crystalline cohomologies of families of open smooth varieties
- Smoothness, semi-stability and alterations
- Differential coherence of unit-root \(F\)-isocrystals
- Semistable reduction for overconvergent \(F\)-isocrystals on a curve
- Duality and comparison for logarithmic de Rham complexes with respect to free divisors.
- Morphisms of \(F\)-isocrystals and the finite monodromy theorem for unit-root \(F\)-isocrystals.
- Devissage of the \(F\)-complexes of arithmetic \(\mathcal D\)-modules in overconvergent \(F\)-isocrystals
- Over convergent \(F\)-isocrystals and differential overcoherence
- Fonctions L associées aux $\mathcal{D}$-modules arithmétiques. Cas des courbes
- Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach
- Semistable reduction for overconvergentF-isocrystals, III: Local semistable reduction at monomial valuations
- $\mathcal{D}$-modules arithmétiques surholonomes
- Logarithmic differential operators and logarithmic de rham complexes relative to a free divisor
- Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques
- ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
- Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions
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