Real Tropical Hyperfaces by Patchworking in polymake

An implementation of Viro’s patchworking in polymake is presented, and a census of Betti numbers of real tropical surfaces serves as a showcase. The latter is relevant in the context of Hilbert’s 16th Problem.

Detalles Bibliográficos
Autores principales: Joswig, Michael, Vater, Paul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340902/
http://dx.doi.org/10.1007/978-3-030-52200-1_20
_version_ 1783555117980581888
author Joswig, Michael
Vater, Paul
author_facet Joswig, Michael
Vater, Paul
author_sort Joswig, Michael
collection PubMed
description An implementation of Viro’s patchworking in polymake is presented, and a census of Betti numbers of real tropical surfaces serves as a showcase. The latter is relevant in the context of Hilbert’s 16th Problem.
format Online
Article
Text
id pubmed-7340902
institution National Center for Biotechnology Information
language English
publishDate 2020
record_format MEDLINE/PubMed
spelling pubmed-73409022020-07-08 Real Tropical Hyperfaces by Patchworking in polymake Joswig, Michael Vater, Paul Mathematical Software – ICMS 2020 Article An implementation of Viro’s patchworking in polymake is presented, and a census of Betti numbers of real tropical surfaces serves as a showcase. The latter is relevant in the context of Hilbert’s 16th Problem. 2020-06-06 /pmc/articles/PMC7340902/ http://dx.doi.org/10.1007/978-3-030-52200-1_20 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
Joswig, Michael
Vater, Paul
Real Tropical Hyperfaces by Patchworking in polymake
title Real Tropical Hyperfaces by Patchworking in polymake
title_full Real Tropical Hyperfaces by Patchworking in polymake
title_fullStr Real Tropical Hyperfaces by Patchworking in polymake
title_full_unstemmed Real Tropical Hyperfaces by Patchworking in polymake
title_short Real Tropical Hyperfaces by Patchworking in polymake
title_sort real tropical hyperfaces by patchworking in polymake
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340902/
http://dx.doi.org/10.1007/978-3-030-52200-1_20
work_keys_str_mv AT joswigmichael realtropicalhyperfacesbypatchworkinginpolymake
AT vaterpaul realtropicalhyperfacesbypatchworkinginpolymake

Ejemplares similares