Real tropicalization and negative faces of the Newton polytope

DOI10.1016/j.jpaa.2023.107564arXiv2306.05154OpenAlexW4388686946MaRDI QIDQ6199032

Máté L. Telek

Publication date: 23 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.05154

zbMATH Keywords

semi-algebraic setlogarithmic limit setsignomialsigned support

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Geometric aspects of tropical varieties (14T20) Real algebraic sets (14P05) Computational real algebraic geometry (14Q30)

Cites Work

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• Amoebas, nonnegative polynomials and sums of squares supported on circuits
• Polyhedral and algebraic methods in computational geometry
• Forms derived from the arithmetic-geometric inequality
• Fuzzy geometric programming techniques and applications
• Decomposition into pairs-of-pants for complex algebraic hypersurfaces
• Tropical spectrahedra
• An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming
• The kinetic space of multistationarity in dual phosphorylation
• A path forward: tropicalization in extremal combinatorics
• Geometric programming with signomials
• Relative Entropy Relaxations for Signomial Optimization
• Enumerative tropical algebraic geometry in ℝ²
• Logarithmic limit sets of real semi-algebraic sets
• Real Tropicalization and Analytification of Semialgebraic Sets
• Algebraic Geometry Tools in Systems Biology
• The Logarithmic Limit-Set of an Algebraic Variety

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