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Tropical Implicitization and Mixed Fiber Polytopes

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Publication:3514378
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zbMath1143.14313arXiv0706.0564MaRDI QIDQ3514378

Bernd Sturmfels, Josephine Yu

Publication date: 21 July 2008

Full work available at URL: https://arxiv.org/abs/0706.0564


Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Computational aspects related to convexity (52B55) Computational aspects of algebraic surfaces (14Q10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)


Related Items

Almost-toric hypersurfaces ⋮ An implicitization challenge for binary factor analysis ⋮ Implicitization of curves and (hyper)surfaces using predicted support ⋮ Linear sparse differential resultant formulas ⋮ Fiber convex bodies ⋮ The Newton polygon of a rational plane curve ⋮ Computing tropical resultants ⋮ Newton polytopes and witness sets ⋮ Tropical algebraic geometry in Maple: a preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients ⋮ Newton polyhedra of discriminants of projections ⋮ Tropical bases by regular projections ⋮ TrIm ⋮ Curve valuations and mixed volumes in the implicitization of rational varieties


Uses Software

  • NTL
  • polymake
  • iB4e


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