Exponents of the \(p\)-adic monodromy and Frobenius structure for differential equations.
type: Item
instance of: scholarly article
title: Exponents of the \(p\)-adic monodromy and Frobenius structure for differential equations.
zbMATH Open document ID: 1071.12005
author: Zoghman Mebkhout
publication date: 2003-12-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/116064
review text: The paper is a survey of results, most of which were obtained by Robba, Christol, and the author, regarding \(p\)-adic differential equations whose holomorphic solutions exists on wider regions than solutions of generic equations. Equations possessing such overconvergence properties have a rich algebraic structure and appear in various geometric frameworks, some of which (Galois representations, cohomology of algebraic varieties) are also surveyed in the paper. For another recent survey of these and related topics, see [\textit{Y. André}, Period mappings and differential equations. From \({\mathbb C}\) to \({\mathbb C}_p\). MSJ Memoirs. 12. (Tokyo: Mathematical Society of Japan) (2003; Zbl 1029.14006)].
reviewed by: Anatoly N. Kochubei
Mathematics Subject Classification ID: 12H25
Mathematics Subject Classification ID: 11F80
Mathematics Subject Classification ID: 14F30
zbMATH DE Number: 2014674
zbMATH Keywords: \(p\)-adic monodromy
zbMATH Keywords: Frobenius structure
zbMATH Keywords: Betti numbers
zbMATH Keywords: Newton polygon
zbMATH Keywords: index
zbMATH Keywords: \(p\)-adic differential equation
MaRDI profile type: Publication
OpenAlex ID: W2315320985
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DOI: 10.5802/AIF.1976
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 2014674