Gale duality for complete intersections

DOI10.5802/aif.2372zbMath1243.14044arXiv0706.3745OpenAlexW2096908309MaRDI QIDQ931907

Frédéric Bihan, Frank J. Sottile

Publication date: 4 July 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3745

zbMATH Keywords

complete intersectionshyperplane arrangementssparse polynomial systemsfewnomialsmaster functions

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)

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Cites Work

• Khovanskii-Rolle continuation for real solutions
• Polynomial systems with few real zeroes
• Intersection theory on toric varieties
• Betti number bounds for fewnomial hypersurfaces via stratified Morse theory
• Polynomial systems supported on circuits and dessins d'enfants
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
• Bounds on the Number of Real Solutions to Polynomial Equations
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