La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer

DOI10.24033/asens.1627zbMath0765.14009OpenAlexW2407179218MaRDI QIDQ3983204

Luis Narváez-Macarro, Zoghman Mebkhout

Publication date: 27 June 1992

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1991_4_24_2_227_0

zbMATH Keywords

\({\mathcal D}\)-modulesDe Rham cohomologyBernstein-Sato polynomialTate algebrasDwork-Monsky-Washnitzer algebras

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) de Rham cohomology and algebraic geometry (14F40)

Related Items (24)

Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Bernstein-Sato Polynomials in Commutative Algebra ⋮ Involutive varieties with smooth support ⋮ Generalized Lyubeznik numbers ⋮ Finiteness properties of local cohomology modules over differentiable admissible algebras ⋮ On the ring of differential operators of certain regular domains ⋮ \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ The total symbol theorem of a \(p\)-adic differential operator ⋮ ON A BERNSTEIN–SATO POLYNOMIAL OF A MEROMORPHIC FUNCTION ⋮ Poles of the complex zeta function of a plane curve ⋮ Relative filtration, the Bernstein Ideal, and its slopes ⋮ Infinitésimal \(p\)-adic topos of a smooth scheme. I. ⋮ Algorithms for checking rational roots of \(b\)-functions and their applications ⋮ Gröbner Bases in D-Modules: Application to Bernstein-Sato Polynomials ⋮ Extending meromorphic connections to coadmissible \( \mathcal{D} \)-modules ⋮ The Jacobian module, the Milnor fiber, and the \(D\)-module generated by \(f^s\) ⋮ METHODS FOR COMPUTING <i>b</i>-FUNCTIONS ASSOCIATED WITH <i>µ</i>-CONSTANT DEFORMATIONS: CASE OF INNER MODALITY TWO ⋮ The total symbol theorem of a \(p\)-adic differential echelon operator \(h\geq 0\) ⋮ Duality and comparison for logarithmic de Rham complexes with respect to free divisors. ⋮ Stratification associated with local \(b\)-functions ⋮ Constructibility of the set of polynomials with a fixed Bernstein-Sato polynomial: an algorithmic approach. ⋮ Explicit comparison theorems for \(\mathcal D\)-modules ⋮ -modules on rigid analytic spaces III: weak holonomicity and operations ⋮ A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors

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