Algebraic Polytopes in Normaliz

We describe the implementation of algebraic polyhedra in Normaliz. In addition to convex hull computation/vertex enumeration, Normaliz computes triangulations, volumes, lattice points, face lattices and automorphism groups. The arithmetic is based on the package e-antic by V. Delecroix.

Detalles Bibliográficos
Autor principal: Bruns, Winfried
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340947/
http://dx.doi.org/10.1007/978-3-030-52200-1_19
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author Bruns, Winfried
author_facet Bruns, Winfried
author_sort Bruns, Winfried
collection PubMed
description We describe the implementation of algebraic polyhedra in Normaliz. In addition to convex hull computation/vertex enumeration, Normaliz computes triangulations, volumes, lattice points, face lattices and automorphism groups. The arithmetic is based on the package e-antic by V. Delecroix.
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spelling pubmed-73409472020-07-08 Algebraic Polytopes in Normaliz Bruns, Winfried Mathematical Software – ICMS 2020 Article We describe the implementation of algebraic polyhedra in Normaliz. In addition to convex hull computation/vertex enumeration, Normaliz computes triangulations, volumes, lattice points, face lattices and automorphism groups. The arithmetic is based on the package e-antic by V. Delecroix. 2020-06-06 /pmc/articles/PMC7340947/ http://dx.doi.org/10.1007/978-3-030-52200-1_19 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Bruns, Winfried
Algebraic Polytopes in Normaliz
title Algebraic Polytopes in Normaliz
title_full Algebraic Polytopes in Normaliz
title_fullStr Algebraic Polytopes in Normaliz
title_full_unstemmed Algebraic Polytopes in Normaliz
title_short Algebraic Polytopes in Normaliz
title_sort algebraic polytopes in normaliz
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340947/
http://dx.doi.org/10.1007/978-3-030-52200-1_19
work_keys_str_mv AT brunswinfried algebraicpolytopesinnormaliz

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