Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces
type: Item
instance of: scholarly article
title: Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces
zbMATH Open document ID: 1373.14048
author: Yisheng Lai
author: Weiping Du
author: Dexin Duan
author: Xiaoke Fang
published in: Journal of Computational and Applied Mathematics
publication date: 2017-10-27T00:00:00Z
Mathematics Subject Classification ID: 14M25
Mathematics Subject Classification ID: 14P25
Mathematics Subject Classification ID: 52C35
zbMATH DE Number: 6798925
zbMATH Keywords: polynomials system
zbMATH Keywords: real piecewise algebraic hypersurface
zbMATH Keywords: positive solution
zbMATH Keywords: compact component
zbMATH Keywords: Gale system
zbMATH Keywords: Betti number
MaRDI profile type: Publication
full work available at URL: j.cam.2016.11.023
OpenAlex ID: W2554151577
cites work: Q3999699
cites work: Q5447544
cites work: Counting real connected components of trinomial curve intersections and \(m\)-nomial hypersurfaces
cites work: Polynomial systems supported on circuits and dessins d'enfants
cites work: Polynomial systems with few real zeroes
cites work: Bounds on the Number of Real Solutions to Polynomial Equations
cites work: Real zeros of the zero-dimensional parametric piecewise algebraic variety
cites work: Solving parametric piecewise polynomial systems
cites work: The Viro method for construction of \(C^r\) piecewise algebraic hypersurfaces
cites work: Q4470271
cites work: The Nöther and Riemann-Roch type theorems for piecewise algebraic curve
cites work: The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece
cites work: Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition
cites work: A survey on the local refinable splines
cites work: Parametric curve with an implicit domain
cites work: Implicitizing rational surfaces using moving quadrics constructed from moving planes
cites work: Q4278198
cites work: Betti number bounds for fewnomial hypersurfaces via stratified Morse theory
cites work: Q4039743
DOI: 10.1016/J.CAM.2016.11.023
description: scientific article; zbMATH DE number 6798925