Polynomial maps with maximal multiplicity and the special closure

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In this article we characterize the polynomial maps F:Cn→Cn for which F−1(0) is finite and their multiplicity μ(F) is equal to n!Vn(Γ˜+(F)) , where Γ˜+(F) is the global Newton polyhedron of F. As an application, we derive a characterization of those polynomial maps whose multiplicity is maximal with...

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Detalles Bibliográficos
Autores: Bivià-Ausina, Carles, Coripaco Huarcaya, Jorge A.
Formato: artículo
Fecha de Publicación:2018
Institución:Universidad San Ignacio de Loyola
Repositorio:USIL-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.usil.edu.pe:usil/3665
Enlace del recurso:https://repositorio.usil.edu.pe/handle/usil/3665
https://link.springer.com/article/10.1007/s00605-018-1204-9
Nivel de acceso:acceso embargado
Materia:Multiplicity (Mathematics)
Newton Polyhedron
Álgebra
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spelling Bivià-Ausina, CarlesCoripaco Huarcaya, Jorge A.2018-08-13T20:23:15Z2018-08-13T20:23:15Z2018-06-12In this article we characterize the polynomial maps F:Cn→Cn for which F−1(0) is finite and their multiplicity μ(F) is equal to n!Vn(Γ˜+(F)) , where Γ˜+(F) is the global Newton polyhedron of F. As an application, we derive a characterization of those polynomial maps whose multiplicity is maximal with respect to a fixed Newton filtration.Revisado por paresapplication/pdfBivià-Ausina, C., & Huarcaya, J. A. (2018). Polynomial maps with maximal multiplicity and the special closure. Monatshefte für Mathematik, 1-17.0026-92551436-5081Monatshefte für Mathematikhttps://repositorio.usil.edu.pe/handle/usil/3665https://link.springer.com/article/10.1007/s00605-018-1204-9engSpringer NatureMonatshefte für Mathematikinfo:eu-repo/semantics/embargoedAccessUniversidad San Ignacio de LoyolaRepositorio Institucional - USILreponame:USIL-Institucionalinstname:Universidad San Ignacio de Loyolainstacron:USILMultiplicity (Mathematics)Newton PolyhedronÁlgebraPolynomial maps with maximal multiplicity and the special closureinfo:eu-repo/semantics/articleORIGINAL2018_Huarcaya.pdf2018_Huarcaya.pdfPre-printapplication/pdf402101https://repositorio.usil.edu.pe/bitstreams/bbd37385-947d-4b8f-a01e-0d0618ec07f6/download37cb7e0413f02c1c9499c9b771d2a788MD51TEXT2018_Huarcaya.pdf.txt2018_Huarcaya.pdf.txtExtracted texttext/plain42065https://repositorio.usil.edu.pe/bitstreams/ad55a7f7-14d1-4c85-b2d1-5a12ebfe8e5d/downloadd20fd534e7f631a243d7d962f6a0210eMD52THUMBNAIL2018_Huarcaya.pdf.jpg2018_Huarcaya.pdf.jpgGenerated Thumbnailimage/jpeg11649https://repositorio.usil.edu.pe/bitstreams/ed4cdc91-978c-4223-805d-e597d4a3cefb/downloadaeb0a538d09ac993e9edc1cd745bd8ceMD53usil/3665oai:repositorio.usil.edu.pe:usil/36652022-01-31 16:48:29.886https://repositorio.usil.edu.peRepositorio institucional de la Universidad San Ignacio de Loyolabdigital@metabiblioteca.com
dc.title.en.fl_str_mv Polynomial maps with maximal multiplicity and the special closure
title Polynomial maps with maximal multiplicity and the special closure
spellingShingle Polynomial maps with maximal multiplicity and the special closure
Bivià-Ausina, Carles
Multiplicity (Mathematics)
Newton Polyhedron
Álgebra
title_short Polynomial maps with maximal multiplicity and the special closure
title_full Polynomial maps with maximal multiplicity and the special closure
title_fullStr Polynomial maps with maximal multiplicity and the special closure
title_full_unstemmed Polynomial maps with maximal multiplicity and the special closure
title_sort Polynomial maps with maximal multiplicity and the special closure
author Bivià-Ausina, Carles
author_facet Bivià-Ausina, Carles
Coripaco Huarcaya, Jorge A.
author_role author
author2 Coripaco Huarcaya, Jorge A.
author2_role author
dc.contributor.author.fl_str_mv Bivià-Ausina, Carles
Coripaco Huarcaya, Jorge A.
dc.subject.en.fl_str_mv Multiplicity (Mathematics)
Newton Polyhedron
topic Multiplicity (Mathematics)
Newton Polyhedron
Álgebra
dc.subject.es_ES.fl_str_mv Álgebra
description In this article we characterize the polynomial maps F:Cn→Cn for which F−1(0) is finite and their multiplicity μ(F) is equal to n!Vn(Γ˜+(F)) , where Γ˜+(F) is the global Newton polyhedron of F. As an application, we derive a characterization of those polynomial maps whose multiplicity is maximal with respect to a fixed Newton filtration.
publishDate 2018
dc.date.accessioned.none.fl_str_mv 2018-08-13T20:23:15Z
dc.date.available.none.fl_str_mv 2018-08-13T20:23:15Z
dc.date.issued.fl_str_mv 2018-06-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.citation.en.fl_str_mv Bivià-Ausina, C., & Huarcaya, J. A. (2018). Polynomial maps with maximal multiplicity and the special closure. Monatshefte für Mathematik, 1-17.
dc.identifier.issn.none.fl_str_mv 0026-9255
1436-5081
dc.identifier.journal.none.fl_str_mv Monatshefte für Mathematik
dc.identifier.uri.none.fl_str_mv https://repositorio.usil.edu.pe/handle/usil/3665
https://link.springer.com/article/10.1007/s00605-018-1204-9
identifier_str_mv Bivià-Ausina, C., & Huarcaya, J. A. (2018). Polynomial maps with maximal multiplicity and the special closure. Monatshefte für Mathematik, 1-17.
0026-9255
1436-5081
Monatshefte für Mathematik
url https://repositorio.usil.edu.pe/handle/usil/3665
https://link.springer.com/article/10.1007/s00605-018-1204-9
dc.language.iso.es_ES.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Monatshefte für Mathematik
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.es_ES.fl_str_mv application/pdf
dc.publisher.es_ES.fl_str_mv Springer Nature
dc.source.es_ES.fl_str_mv Universidad San Ignacio de Loyola
Repositorio Institucional - USIL
dc.source.none.fl_str_mv reponame:USIL-Institucional
instname:Universidad San Ignacio de Loyola
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Polynomial maps with maximal multiplicity and the special closure
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