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Bounds on the Number of Real Solutions to Polynomial Equations

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Publication:5439955
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DOI10.1093/imrn/rnm114zbMath1129.14077arXiv0706.4134OpenAlexW1984496743MaRDI QIDQ5439955

Daniel J. Bates, Frédéric Bihan, Frank J. Sottile

Publication date: 30 January 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4134


zbMATH Keywords

Gale dualityfewnomialsreal solutions


Mathematics Subject Classification ID

Real algebraic sets (14P05) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)


Related Items (9)

Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials ⋮ Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces ⋮ Multistationarity and bistability for fewnomial chemical reaction networks ⋮ Gale duality for complete intersections ⋮ Khovanskii-Rolle continuation for real solutions ⋮ Continuity of the asymptotics of expected zeros of fewnomials ⋮ EXTREMAL VARIANCE AND ITS GENERALIZATION ⋮ The number of roots of a lacunary bivariate polynomial on a line ⋮ Frontiers of reality in Schubert calculus




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