Germs of integrable forms and varieties of minimal degree
classification
🧮 math.CV
math.AGmath.CA
keywords
degreeformsintegrableminimalcomparablecomponentsdimensiondimensional
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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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