On the $p$-supports of a holonomic $\mathcal {D}$-module

DOI10.1007/s00222-018-0837-6zbMath1442.14066arXiv1012.4081OpenAlexW3098059773MaRDI QIDQ1741565

Thomas Bitoun

Publication date: 3 May 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4081

zbMATH Keywords

Azumaya algebrasingular supportcrystalline differential operators$\mathcal {D}$-modules$p$-supportreduction to characteristic $p$

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) (p)-adic cohomology, crystalline cohomology (14F30) Brauer groups of schemes (14F22)

Related Items (1)

Semiclassical limits of Ore extensions and a Poisson generalized Weyl algebra

Cites Work

• Nonabelian Hodge theory in characteristic \(p\)
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• Equations différentielles à points singuliers réguliers
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• On Involutivity ofp-Support
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• The Integrability of the Characteristic Variety
• Notes on Crystalline Cohomology. (MN-21)
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• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• Simple Algebras With Purely Inseparable Splitting Fields of Exponent 1
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