Continuous division of linear differential operators and faithful flatness of D∞X over DX
Year: 2004
Type: article
Abstract: In these notes we prove the faithful flatness of the sheaf of infinite order \nlinear differential operators over the sheaf of finite order linear differential operators on a complex analytic manifold. We give the Mebkhout-Narv´aez’s proof based on the continuity of the division of finite order differential operators with respect to a natural topology. We reproduce the proof of the continuity theorem given by Hauser-Narváez, which is simpler than the original proof.
Authors: Luis Narváez Macarro, Antonio León
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2183119421