On the D-module of an isolated singularity
Algebraic Geometry
2025-03-26 v2 Rings and Algebras
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 neighborhood of the singularity.
Cite
@article{arxiv.2307.00120,
title = {On the D-module of an isolated singularity},
author = {Thomas Bitoun},
journal= {arXiv preprint arXiv:2307.00120},
year = {2025}
}
Comments
Final version. Accepted for publication in Algebra & Number Theory