Sur certaines singularites non isolees d'hypersurfaces I
Algebraic Geometry
2007-05-23 v2 Complex Variables
Abstract
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.
Cite
@article{arxiv.math/0505407,
title = {Sur certaines singularites non isolees d'hypersurfaces I},
author = {Daniel Barlet},
journal= {arXiv preprint arXiv:math/0505407},
year = {2007}
}
Comments
This is a new version (28 pages) which is accepted for publication in Bull. Soc. Math. France (2006)