Étale covers, bimodules and differential operators
type: Item
instance of: scholarly article
title: Étale covers, bimodules and differential operators
zbMATH Open document ID: 0807.13011
DOI: 10.1007/BF02572316
author: Martin P. Holland
author: Rob C. Cannings
published in: Mathematische Zeitschrift
publication date: 1994-12-21T00:00:00Z
full work available at URL: https://eudml.org/doc/174645
review text: Let \(R\) be a Dedekind domain, finitely generated over \(k\), an algebraically closed field of characteristic zero. Let \({\mathcal D} (R)\) be the ring of differential operators on \(R\). Let \(S\) be a domain and \(G\) a finite, soluble subgroup of \(\Aut_ k S\) such that \(S^ G \cong {\mathcal D} (R)\). We show that there exists an étale extension \(R_ 1\) of \(R\), with Galois group \(G\), such that \(S \cong {\mathcal D} (R_ 1)\).
Mathematics Subject Classification ID: 13N10
Mathematics Subject Classification ID: 13F05
Mathematics Subject Classification ID: 13B05
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 13A50
zbMATH DE Number: 704912
zbMATH Keywords: automorphism group
zbMATH Keywords: Dedekind domain
zbMATH Keywords: ring of differential operators
zbMATH Keywords: étale extension
zbMATH Keywords: Galois group
MaRDI profile type: Publication
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OpenAlex ID: W2002249472
description: scientific article; zbMATH DE number 704912