Loose edges
Algebraic Geometry
2018-10-04 v3
Abstract
We consider formal power series in several variables with coefficients in arbitrary field such that their Newton polyhedron has a loose edge. We show that if the symbolic restriction of the power series to such an edge is a product of two coprime polynomials, then factorizes in the ring of power series.
Keywords
Cite
@article{arxiv.1807.04944,
title = {Loose edges},
author = {Janusz Gwoździewicz and Beata Hejmej},
journal= {arXiv preprint arXiv:1807.04944},
year = {2018}
}