Intersection bodies of polytopes-Reference-Cited by-同舟云学术

Intersection bodies of polytopes

Published:2022-01-25 Issue:2 Volume:63 Page:419-439
ISSN:0138-4821
Container-title:Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
language:en
Short-container-title:Beitr Algebra Geom

Author:

Berlow Katalin^ORCID,Brandenburg Marie-Charlotte^ORCID,Meroni Chiara^ORCID,Shankar Isabelle^ORCID

Abstract

AbstractWe investigate the intersection body of a convex polytope using tools from combinatorics and real algebraic geometry. In particular, we show that the intersection body of a polytope is always a semialgebraic set and provide an algorithm for its computation. Moreover, we compute the irreducible components of the algebraic boundary and provide an upper bound for the degree of these components.

Funder

Max Planck Institute for Mathematics in the Sciences

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s13366-022-00621-7.pdf

Reference25 articles.

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3. Correction to: Intersection bodies of polytopes;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2022-03-23