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arXiv · 2307.00120

On the D-module of an isolated singularity

Thomas Bitoun
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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.

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Thomas Bitoun. 2023-06-30. On the D-module of an isolated singularity. https://doi.org/10.2140/ant.2025.19.763

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