Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules
type: Item
instance of: scholarly article
title: Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules
zbMATH Open document ID: 0926.12006
author: K. Appert
published in: Journal of Algebra
publication date: 1999-11-29T00:00:00Z
review text: The purpose of this paper is to give explicit and global formulae for Frobenius decent of \({\mathcal D}_{\mathcal X}^\dagger\)-modules. This completes Berthelot theory. The main argument developed here is an interpretation of the Dwork \(\psi\) function as an infinite differential operator. Applications are given, in this paper to Cartier isomorphism and Cartier operator, and in another paper to new proofs of Christol main theorems (about indexes of differential operators).
Mathematics Subject Classification ID: 12H25
Mathematics Subject Classification ID: 14F30
Mathematics Subject Classification ID: 14G20
zbMATH DE Number: 1214132
zbMATH Keywords: \({\mathcal D}^\dagger\)-modules
zbMATH Keywords: Frobenius descent
zbMATH Keywords: Dwork function
zbMATH Keywords: infinite differential operator
zbMATH Keywords: Cartier isomorphism
zbMATH Keywords: Cartier operator
reviewed by: Marc Reversat
MaRDI profile type: Publication
full work available at URL: jabr.1997.7373
OpenAlex ID: W2036906564
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DOI: 10.1006/JABR.1997.7373
description: scientific article; zbMATH DE number 1214132