Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772824 | Journal of Pure and Applied Algebra | 2017 | 14 Pages |
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 aFdGâbGdF, where F, G denote co-prime homogeneous polynomials of degrees a,b is an irreducible component of F(a+bâ2;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
Authors
Daniel Leite, Israel Vainsencher,