Germs of integrable forms and varieties of minimal degree

Abstract

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.

References in corpus (3)

• Nonlinear wave equation, nonlinear Riemann problem, and the twistor transform of Veronese webs
• Stability of Holomorphic Foliations with Split Tangent Sheaf
• On integrability of generalized Veronese curves of distributions