Book Review: $p$-adic differential equations

DOI10.1090/S0273-0979-2012-01371-XzbMath1300.00010MaRDI QIDQ4899974

Laurent Berger

Publication date: 10 January 2013

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Differential algebra (12H05) (p)-adic differential equations (12H25) External book reviews (00A17) Research exposition (monographs, survey articles) pertaining to field theory (12-02)

Related Items (1)

Differential Modules on p-Adic Polyannuli—Erratum

Cites Work

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• Hasse-Arf filtrations and \(p\)-adic monodromy.
• Analogue \(p\)-adique du théorème de Turrittin et le théorème de la monodromie \(p\)-adique.
• Représentations galoisiennes et opérateurs de Bessel \(p\)-adiques. (Galois representations and \(p\)-adic Bessel operators)
• A \(p\)-adic local monodromy theorem
• The theory of \(p\)-adic differential equations and the \(p\)-adic monodromy theorem
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• Fourier transforms and $p$-adic ‘Weil II’
• LOCAL MONODROMY OF p-ADIC DIFFERENTIAL EQUATIONS: AN OVERVIEW
• Sur l'équation y² = x³ - Ax - B dans les corps p-adiques.

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