English

Bifurcation locus and branches at infinity of a polynomial f : C2 -> c

Algebraic Geometry 2015-03-24 v1

Abstract

We show that the number of bifurcation points at infinity of a polynomial function f : C2 -> C is at most the number of branches at infinity of a generic fiber of f and that this upper bound can be diminished by one in certain cases.

Keywords

Cite

@article{arxiv.1401.6544,
  title  = {Bifurcation locus and branches at infinity of a polynomial f : C2 -> c},
  author = {Zbigniew Jelonek and Mihai Tibar},
  journal= {arXiv preprint arXiv:1401.6544},
  year   = {2015}
}