Newton polyhedra and irreducibility
type: Item
instance of: scholarly article
title: Newton polyhedra and irreducibility
zbMATH Open document ID: 0632.14005
DOI: 10.1007/BF01160215
author: Aleksandar T. Lipkovski
published in: Mathematische Zeitschrift
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173956
review text: It is known that a lot of information on a hypersurface singularity is contained in its Newton polyhedron. In the present paper such kind of relationship is studied, namely the connection between the shape of the Newton polyhedron and irreducibility of corresponding formal power series. By analysis of the semigroup of the Newton polyhedra, some combinatorial and geometrical conditions for irreducibility are established. Some examples and possible applications to hypersurface singularities are considered.
reviewed by: Aleksandar T. Lipkovski
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 13F25
Mathematics Subject Classification ID: 14M25
zbMATH DE Number: 4027638
zbMATH Keywords: irreducibility of formal power series
zbMATH Keywords: shape of the Newton polyhedron
zbMATH Keywords: semigroup of the Newton polyhedra
zbMATH Keywords: hypersurface singularities
MaRDI profile type: Publication
cites work: Q4745933
cites work: Q5547252
OpenAlex ID: W2013553571
description: scientific article; zbMATH DE number 4027638