On the D-module of an isolated singularity

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-03-24 DOI:10.2140/ant.2025.19.763

Thomas Bitoun

引用次数: 0

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.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.