Germs of integrable forms and varieties of minimal degree

preprint2009arXivOpen access

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

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Germs of integrable forms and varieties of minimal degree

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