Sur certaines singularités non isolées d'hypersurfaces I

Daniel Barlet (1, 2)

1 IECN - Institut Élie Cartan de Nancy
2 IUF - Institut universitaire de France

The aim of this fisrt part is to introduce, for an rather large class of hypersurface singularities with 1 dimensional 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.

Mots clés: Hypersurface singularity; 1 dimensional singular locus; Brieskorn module; (a; b)-module; formal microlocal operators.; formal microlocal operators

Domaines: Variables complexes [math.CV]

Daniel Barlet. Sur certaines singularités non isolées d'hypersurfaces I. Bulletin de la société mathématique de France, 2006, Vol. 134, pp.173-200. ⟨hal-00016571⟩