Article ID Journal Published Year Pages File Type
5772824 Journal of Pure and Applied Algebra 2017 14 Pages PDF
Abstract
Let F(d;n) be the parameter space of the family of holomorphic foliations of codimension one and degree d in Pn. Gomez-Mont and Lins-Neto have shown that the Zariski closure of the set of foliations defined by a differential 1-form of type aFdG−bGdF, where F, G denote co-prime homogeneous polynomials of degrees a,b is an irreducible component of F(a+b−2;n). Our main result gives a formula for the degree of this component for a=2, b odd.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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