On real Waring decompositions of real binary forms

The Waring Problem over polynomial rings asks how to decompose a homogeneous polynomial p of degree d as a finite sum of d-th powers of linear forms. In this work we give an algorithm to obtain a real Waring decomposition of any given real binary form p of length at most its degree. In fact, we cons...

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Detalles Bibliográficos
Autores: Ansola Fernández-Enríquez, María Macarena, Díaz-Cano Ocaña, Antonio, Zurro, María Ángeles
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/7228
Acceso en línea:https://hdl.handle.net/20.500.14352/7228
Access Level:acceso abierto
Palabra clave:512.7
Real binary forms
Waring decompositions
Semialgebraic sets
Álgebra
Geometria algebraica
1201 Álgebra
1201.01 Geometría Algebraica
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spelling On real Waring decompositions of real binary formsAnsola Fernández-Enríquez, María MacarenaDíaz-Cano Ocaña, AntonioZurro, María Ángeles512.7Real binary formsWaring decompositionsSemialgebraic setsÁlgebraGeometria algebraica1201 Álgebra1201.01 Geometría AlgebraicaThe Waring Problem over polynomial rings asks how to decompose a homogeneous polynomial p of degree d as a finite sum of d-th powers of linear forms. In this work we give an algorithm to obtain a real Waring decomposition of any given real binary form p of length at most its degree. In fact, we construct a semialgebraic family of Waring decompositions for p. Some examples are shown to highlight the difference between the real and the complex case.Universidad Complutense de Madrid20192019-01-0120192019-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/7228reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/72282026-06-02T12:44:21Z
dc.title.none.fl_str_mv On real Waring decompositions of real binary forms
title On real Waring decompositions of real binary forms
spellingShingle On real Waring decompositions of real binary forms
Ansola Fernández-Enríquez, María Macarena
512.7
Real binary forms
Waring decompositions
Semialgebraic sets
Álgebra
Geometria algebraica
1201 Álgebra
1201.01 Geometría Algebraica
title_short On real Waring decompositions of real binary forms
title_full On real Waring decompositions of real binary forms
title_fullStr On real Waring decompositions of real binary forms
title_full_unstemmed On real Waring decompositions of real binary forms
title_sort On real Waring decompositions of real binary forms
dc.creator.none.fl_str_mv Ansola Fernández-Enríquez, María Macarena
Díaz-Cano Ocaña, Antonio
Zurro, María Ángeles
author Ansola Fernández-Enríquez, María Macarena
author_facet Ansola Fernández-Enríquez, María Macarena
Díaz-Cano Ocaña, Antonio
Zurro, María Ángeles
author_role author
author2 Díaz-Cano Ocaña, Antonio
Zurro, María Ángeles
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512.7
Real binary forms
Waring decompositions
Semialgebraic sets
Álgebra
Geometria algebraica
1201 Álgebra
1201.01 Geometría Algebraica
topic 512.7
Real binary forms
Waring decompositions
Semialgebraic sets
Álgebra
Geometria algebraica
1201 Álgebra
1201.01 Geometría Algebraica
description The Waring Problem over polynomial rings asks how to decompose a homogeneous polynomial p of degree d as a finite sum of d-th powers of linear forms. In this work we give an algorithm to obtain a real Waring decomposition of any given real binary form p of length at most its degree. In fact, we construct a semialgebraic family of Waring decompositions for p. Some examples are shown to highlight the difference between the real and the complex case.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01
2019
2019-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/7228
url https://hdl.handle.net/20.500.14352/7228
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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