The maximum number of real roots of a multihomogeneous system of polynomial equations
type: Item
instance of: scholarly article
title: The maximum number of real roots of a multihomogeneous system of polynomial equations
zbMATH Open document ID: 0963.65050
author: Andrew McLennan
published in: Beiträge zur Algebra und Geometrie
publication date: 2000-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/231994
full work available at URL: 6.html
review text: The author discusses the maximal number of regular real roots of a multihomogeneous system of polynomial equations in which variables of the system are partitioned into groups and each equation is homogeneous separately in the variables of each group. It is shown that for such a multihomogeneous system there are open sets for coefficient vectors such that the number of real regular roots is equal to the generic number of complex roots.
reviewed by: Zhen Mei
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 1460282
zbMATH Keywords: multihomogeneous system of polynomial equations
zbMATH Keywords: maximal number
zbMATH Keywords: regular real roots
zbMATH Keywords: complex roots
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1460282