Sur certaines singularites non isolees d'hypersurfaces I

Details Sur certaines singularites non isolees d'hypersurfaces I Sur certaines singularites non isolees d'hypersurfaces I

2005-05-19

arxiv.org/abs/math/0505407v2

Mathematics

Algebraic Geometry

This is a new version (28 pages) which is accepted for publication in Bull. Soc. Math. France (2006)

Scientific paper

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.

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