Sur certaines singularites non isolees d'hypersurfaces I

Research paper by Daniel Barlet

Indexed on: 09 Jan '06Published on: 09 Jan '06Published in: Mathematics - Algebraic Geometry


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.