Stability of branched pull-back projective foliations
Complex Variables
2015-03-30 v1 Algebraic Geometry
Dynamical Systems
Abstract
We prove that, if , a singular foliation on which can be written as pull-back, where is a foliation in of degree with one or three invariant lines in general position and , is an appropriated rational map, is stable under holomorphic deformations. As a consequence we conclude that the closure of the sets are new irreducible components of the space of holomorphic foliations of certain degrees.
Cite
@article{arxiv.1503.07923,
title = {Stability of branched pull-back projective foliations},
author = {W. Costa e Silva},
journal= {arXiv preprint arXiv:1503.07923},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1503.07827, arXiv:1503.00715