Germs of integrable forms and varieties of minimal degree

Details Germs of integrable forms and varieties of minimal degree Germs of integrable forms and varieties of minimal degree

2009-07-24

arxiv.org/abs/0907.4358v1

Bulletin des Sciences Math\'ematiques Volume 134, Issue 1, January-February 2010, Pages 1-11

Mathematics

Complex Variables

Scientific paper

10.1016/j.bulsci.2009.09.005

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

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