Volume of convex polytopes equals mixed volume of simplices

DOI10.1007/s00013-023-01836-3OpenAlexW4321241306MaRDI QIDQ2694010

Tianran Chen

Publication date: 27 March 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12875

zbMATH Keywords

volumemixed volumeconvex polytopesBernshtein's theoremBKK bound

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Mixed volumes and related topics in convex geometry (52A39)

Cites Work

• The complexity of computing the permanent
• The number of roots of a system of equations
• Newton polyhedra and the genus of complete intersections
• On The Complexity of Computing Mixed Volumes

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