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

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.

References in corpus (1)

• Ephraim's Pencils

Cited by in corpus (2)

• Detecting asymptotic non-regular values by polar curves
• Global index of real polynomials