Module de Brieskorn et formes hermitiennes pour une singularité isolée d'hypersurface.

Daniel Barlet (1, 2)

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

This article intends to give synthetic survey about the canonical hermitian form of a germ of holomorphic functions $f$ with an isolated singularity at the origin in $\Bbb C^{n+1}$. The link between this canonical hermitian form, the hermitian Poincaré duality on the Milnor'fiber of $f$ and the variation map, proved by F. Loeser in [Lo.86], is presented in the (a,b)-module setting with purely local arguments.

Mots clés: (a; b)-Module; Brieskorn module; dual Brieskorn module; variation; canonical Hermitian form; isolated singularity

Domaines: Variables complexes [math.CV]

Daniel Barlet. Module de Brieskorn et formes hermitiennes pour une singularité isolée d'hypersurface.. Singularités, Institut Elie Cartan Nancy /, pp.19-46, 2006, Revue de l'Institut Elie Cartan Nancy ; 18. ⟨hal-00102113⟩