Computing tropical points and tropical links

DOI10.1007/s00454-018-0023-zzbMath1423.14349arXiv1611.02878OpenAlexW3102983563MaRDI QIDQ1991344

Yue Ren, Tommy Hofmann

Publication date: 30 October 2018

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02878

zbMATH Keywords

Newton polygoncomputer algebratropical geometrytropical varietytropical Grassmannian

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Grassmannians, Schubert varieties, flag manifolds (14M15) Computational aspects of higher-dimensional varieties (14Q15) Non-Archimedean valued fields (12J25) Solving polynomial systems; resultants (13P15)

Related Items (4)

Computing zero-dimensional tropical varieties via projections ⋮ Computing tropical varieties over fields with valuation ⋮ Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians ⋮ Detecting tropical defects of polynomial equations

Uses Software

• SINGULAR
• Gfan
• gfanlib
• DynamicPrevariety
• tropicalNewton

Cites Work

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• Finiteness of spatial central configurations in the five-body problem
• Dressians, tropical Grassmannians, and their rays
• Stiefel tropical linear spaces
• How to draw tropical planes
• Solving zero-dimensional algebraic systems
• Efficient computation of zero-dimensional Gröbner bases by change of ordering
• Lifting tropical intersections
• Computing tropical varieties
• Tropical bases by regular projections
• Algebra
• Enumerative tropical algebraic geometry in ℝ²
• Gröbner bases over fields with valuations
• The tropical Grassmannian
• SINGULAR
• Combinatorial Simplex Algorithms Can Solve Mean Payoff Games
• Stable intersections of tropical varieties

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