Branched pull-back components of the space of codimension 1 foliations on $\mathbb P^n$
Complex Variables
2015-03-27 v1 Algebraic Geometry
Dynamical Systems
Abstract
Let be written as , where is a foliation in with three invariant lines in general position, say , and , is a nonlinear rational map. Using local stability results of singular holomorphic foliations, we prove that: if , the foliation is globally stable under holomorphic deformations. As a consequence we obtain new irreducible componentes for the space of codimension one foliations on . We present also a result which characterizes holomorphic foliations on which can be obtained as a pull back of foliations on of degree with three invariant lines in general position.
Keywords
Cite
@article{arxiv.1503.07827,
title = {Branched pull-back components of the space of codimension 1 foliations on $\mathbb P^n$},
author = {W. Costa e Silva},
journal= {arXiv preprint arXiv:1503.07827},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1503.00715