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

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

2005-03-16

arxiv.org/abs/math/0503336v1

Mathematics

Algebraic Geometry

Scientific paper

We consider a holomorphic 1-form $\omega$ 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 $(V,\omega)$. They generalize the
Eisenbud-Levine-Khimshiashvili quadratic form defined for a smooth $V$.

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