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.

查看原文本刊更多论文

在孤立奇点的d模上

设Z为方程f的一个复超曲面孤立奇点的胚芽，其中Z至少为2维。我们考虑由1∕f的幂所产生的解析d模族，并用{f= 0}的补在奇异邻域的de Rham上的极阶滤过来描述它。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.