The total symbol theorem of a \(p\)-adic differential operator

DOI10.4171/RMI/618zbMath1213.14042MaRDI QIDQ616598

Zoghman Mebkhout, Luis Narváez-Macarro

Publication date: 10 January 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1282913823

zbMATH Keywords

\(p\)-adic differential operatordagger adic schemeoverconvergent symbolweak formal schemeweakly complete algebra

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 (4)

\(p\)-adic de Rham constructibility ⋮ Infinitésimal \(p\)-adic topos of a smooth scheme. I. ⋮ The total symbol theorem of a \(p\)-adic differential echelon operator \(h\geq 0\) ⋮ Sur le théorème de la monodromie pour une famille d'équations différentielles p-adiques

Cites Work

• Unimodular Hermitian and skew-Hermitian forms
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• The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic
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• Formal cohomology. I
• La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer
• On the Homological Dimension of Algebras of Differential Operators
• Sur le theoreme de finitude de la cohomologie p -adique d'une variete affine non singuliere.
• Rigid analytic spaces with overconvergent structure sheaf
• A note on weakly complete algebras
• Weak Formal Schemes
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