English

Germs of integrable forms and varieties of minimal degree

Complex Variables 2010-04-05 v1 Algebraic Geometry Classical Analysis and ODEs

Abstract

We study the subvariety of integrable 1-forms in a finite dimensional vector space WΩ1(Cn,0)W \subset \Omega^1(\mathbb C^n,0). We prove that the irreducible components with dimension comparable with the rank of WW are of minimal degree.

Keywords

Cite

@article{arxiv.0907.4358,
  title  = {Germs of integrable forms and varieties of minimal degree},
  author = {Jorge Vitorio Pereira and Carlo Perrone},
  journal= {arXiv preprint arXiv:0907.4358},
  year   = {2010}
}