Combinatorial excess intersection

DOI10.1016/j.jsc.2014.09.034zbMath1316.14111arXiv1212.2249OpenAlexW2053509893MaRDI QIDQ480696

Jose Israel Rodriguez

Publication date: 9 December 2014

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2249

zbMATH Keywords

combinatoricsmixed volumeNewton polytopesnumerical algebraic geometryexcess intersection

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Computational aspects in algebraic geometry (14Qxx)

Uses Software

• Macaulay2
• PHCpack
• Bertini

Cites Work

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• Segre classes on smooth projective toric varieties
• Segre classes as integrals over polytopes
• Chern numbers of smooth varieties via homotopy continuation and intersection theory
• Computing intersection numbers of Chern classes
• How to integrate a polynomial over a simplex
• Lectures on Polytopes
• Algorithm 795
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

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