\(D^\dagger (\infty)\)-affinité des schémas projectifs. (\(D^\dagger (\infty)\)-affinity of projective schemes.)

DOI10.5802/aif.1643zbMath0910.14005OpenAlexW2317246488MaRDI QIDQ1271446

Christine Noot-Huyghe

Publication date: 9 November 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_4_913_0

zbMATH Keywords

\(D^\dag (\infty)\)-modules\(p\)-adic coefficients\(p\)-adic formal schemecoherent overconvergent \(D\)-modulesvanishing theorems for \(D\)-modules

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (10)

Finiteness of the homological dimension of weakly complete algebras of differential operator with overconvergent coefficients ⋮ Langlands correspondence for isocrystals and the existence of crystalline companions for curves ⋮ Generalized hypergeometric arithmetic 𝒟-modules under a 𝓅-adic non-Liouvilleness condition ⋮ \(p\)-adic GKZ hypergeometric complex ⋮ Comparison theorem between Fourier transform and Fourier transform with compact support ⋮ Holonomy of arithmetic \(\mathcal D\)-modules associated with overconvergent \(F\)-isocrystals over smooth curves ⋮ Un théorème de comparaison entre les faisceaux d’opérateurs différentiels de Berthelot et de Mebkhout-Narváez-Macarro ⋮ $\mathcal{D}$-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse ⋮ Stabilité de l’holonomie sur les variétés quasi-projectives ⋮ Bessel \(F\)-isocrystals for reductive groups

Cites Work

• Finiteness and cohomological purity in rigid cohomology (with an appendix by Aise Johan de Jong)
• Boyarsky principle and \(\mathcal D\)-modules
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Formal cohomology. I
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
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