Étale covers, bimodules and differential operators
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 \(S \cong {\mathcal D} (R_ 1)\).
scientific article; zbMATH DE number 704912
scientific article