Toric border basis

DOI10.1145/2608628.2608652zbMath1325.68296arXiv1406.0935OpenAlexW2162295527MaRDI QIDQ3452414

Philippe Trebuchet, Mourrain, Bernard

Publication date: 11 November 2015

Published in: Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0935

zbMATH Keywords

Laurent polynomialssyzygyborder basisnormal form algorithmtoric roots

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Solving polynomial systems; resultants (13P15)

Related Items

Border bases for lattice ideals ⋮ Dimension results for extremal-generic polynomial systems over complete toric varieties ⋮ Computation of invariants of finite abelian groups

Uses Software

• Jordan

Cites Work

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• Jordan
• An effective implementation of symbolic-numeric cylindrical algebraic decomposition for quantifier elimination
• Cylindrical algebraic decomposition using validated numerics
• The Jordan Curve Theorem, Formally and Informally
• On Computable Numbers, with an Application to the Entscheidungsproblem
• Definability and decision problems in arithmetic

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