On Newton non-degeneracy of polynomial mappings

Abstract

We introduce a new non-degeneracy condition at infinity for a real or a mixed polynomial mapping $F$ which allows us to approximate its bifurcation locus in terms of certain Newton polyhedra. We derive a sufficiency result for the Jacobian problem in the setting of mixed mappings.

This paper has been withdrawn by the authors. This paper is superseded by arXiv:1303.6879

Cited by in corpus (2)

• Invertible polynomial mappings via Newton non-degeneracy
• Bifurcation set, M-tameness, Asymptotic critical values and Newton polyhedrons