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

Wolfgang Ebeling, Sabir M. Gusein-Zade

Published 2005-03-16Version 1

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 $V$.