Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques

DOI10.24033/bsmf.2362zbMath0955.14015OpenAlexW2504584940MaRDI QIDQ4487726

Anne Virrion

Publication date: 22 June 2000

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_2000__128_1_1_0

zbMATH Keywords

dualitycharacteristic \(p\)holonomyFrobenius morphismcohomological dimensionrigid cohomology\(\mathcal D\)-moduleformal schemesheaves of differential operators

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30)

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Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
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• Cohomologie cristalline des schemas de caractéristique \(p >0\)
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• Algebraic study of systems of partial differential equations
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• Cohomologie a supports propres
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