Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 617–834
Issue 3, 415–616
Issue 2, 213–413
Issue 1, 1–211

Volume 18, 12 issues

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-7833 (online)
ISSN 1937-0652 (print)
 
Author index
To appear
 
Other MSP journals
On the D-module of an isolated singularity

Thomas Bitoun
Vol. 19 (2025), No. 4, 763–769
DOI: 10.2140/ant.2025.19.763
Abstract

Let Z be the germ of a complex hypersurface isolated singularity of equation f, with Z at least of dimension 2. We consider the family of analytic D-modules generated by the powers of 1∕f and describe it in terms of the pole order filtration on the de Rham cohomology of the complement of {f = 0} in the neighbourhood of the singularity.

Keywords
D-modules, isolated singularities, Hodge filtration, de Rham cohomology, mixed Hodge structures
Mathematical Subject Classification
Primary: 14F10
Secondary: 14B05
Milestones
Received: 20 September 2023
Revised: 16 April 2024
Accepted: 15 June 2024
Published: 24 March 2025
Authors
Thomas Bitoun
University of Calgary
Calgary, AB
Canada
© 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

Open Access made possible by participating institutions via Subscribe to Open.