2005/05/19 by Daniel Barlet, Barlet, Daniel
Mathematics · #32 S 05 #32 S 25 #32 S 40 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.math/0505407
openalex publication_date 2005/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this fisrt part is to introduce, for a rather large class of hypersurface singularities with 1 dimensionnal locus, the analog of the Brieskorn lattice at the origin (the singular point of the singular locus). The main results are the finitness theorem for the corresponding (a,b)-module obtained via Kashiwara's constructibility theorem, and non torsion results for a plane curve singularity (not nessarily reduced) and for the suspension of such non torsion cases with an isolated singularity.