Quadratic forms for a 1-form on an isolated complete intersection singularity

Abstract

We consider a holomorphic 1-form ω with an isolated zero on an isolated complete intersection singularity (V,0). We construct quadratic forms on an algebra of functions and on a module of differential forms associated to the pair (V,ω). They generalize the Eisenbud-Levine-Khimshiashvili quadratic form defined for a smooth V.

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