Polar degrees and closest points in codimension two

DOI10.1142/S0219498819500956zbMath1426.14015arXiv1711.02381OpenAlexW3102108266MaRDI QIDQ5383874

Martin Helmer, Bernt Ivar Utstøl Nødland

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02381

zbMATH Keywords

combinatoricstoric varietiespolytopesalgebraic geometryChern-Mather classEuclidean distance degreecodimension twopolar degrees

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Projective techniques in algebraic geometry (14N05) Gale and other diagrams (52B35)

Uses Software

• Macaulay2

Cites Work

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• On the Complexity of Computing the Volume of a Polyhedron
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• Nearest points on toric varieties
• Degree and Algebraic Properties of Lattice and Matrix Ideals
• Exact Solutions in Structured Low-Rank Approximation
• The Euclidean distance degree of an algebraic variety

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