Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces

DOI10.1016/j.cam.2016.11.023zbMath1373.14048OpenAlexW2554151577MaRDI QIDQ1675374

Weiping Du, Dexin Duan, Yisheng Lai, Xiaoke Fang

Publication date: 27 October 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.023

zbMATH Keywords

positive solutionBetti numbercompact componentGale systempolynomials systemreal piecewise algebraic hypersurface

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Topology of real algebraic varieties (14P25)

Cites Work

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• Polynomial systems supported on circuits and dessins d'enfants
• Bounds on the Number of Real Solutions to Polynomial Equations

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