Barlet, Daniel Brieskorn modules and Hermitian forms of an isolated hypersurface singularity. (Modules de Brieskorn et formes hermitiennes pour une singularité isolée d’hypersurface.) (French) Zbl 1133.32016 Barlet, Daniel (ed.), Singularités. Nancy: Université de Nancy (ISBN 2-903594-18-X/pbk). Institut Élie Cartan, Université de Nancy I 18, 19-46 (2006). Summary: This article intends to give a synthetic survey about the canonical Hermitian form of a germ of a holomorphic function \(f\) with an isolated singularity at the origin in \(\mathbb C^{n+1}\). 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 [Bull. Soc. Math. Fr. 114, 385–392 (1989; Zbl 0652.32009)], is presented in the \((a,b)\)-module setting with purely local arguments.For the entire collection see [Zbl 1119.32001]. Cited in 3 Documents MSC: 32S40 Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) Keywords:\((a,b)\)-module; Brieskorn module; dual Brieskorn module; variation; canonical Hermitian form; isolated singularity Citations:Zbl 0652.32009 PDFBibTeX XMLCite \textit{D. Barlet}, in: Singularités. Nancy: Université de Nancy. 19--46 (2006; Zbl 1133.32016)