English

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

Algebraic Geometry 2007-05-23 v1 Complex Variables

Abstract

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

Keywords

Cite

@article{arxiv.math/0503336,
  title  = {Quadratic forms for a 1-form on an isolated complete intersection singularity},
  author = {Wolfgang Ebeling and Sabir M. Gusein-Zade},
  journal= {arXiv preprint arXiv:math/0503336},
  year   = {2007}
}