Rational places in extensions and sequences of function fields of Kummer type

Autores
Chara, María de Los Ángeles; Toledano, R.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we prove   results on the number of rational places in   extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step of   sequences of function fields over a finite field, that we call $(a,b)$-sequences. In the case of a prime field, we apply these results to the study of rational places in certain sequences of function fields of Kummer type.
Fil: Chara, María de Los Ángeles. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Toledano, R.. Universidad Nacional del Litoral; Argentina
Materia
Function Fields
Finite Fields
Towers
Rational Places
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84085
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/84085
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network_name_str CONICET Digital (CONICET)
spelling Rational places in extensions and sequences of function fields of Kummer typeChara, María de Los ÁngelesToledano, R.Function FieldsFinite FieldsTowersRational Placeshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we prove   results on the number of rational places in   extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step of   sequences of function fields over a finite field, that we call $(a,b)$-sequences. In the case of a prime field, we apply these results to the study of rational places in certain sequences of function fields of Kummer type.Fil: Chara, María de Los Ángeles. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Toledano, R.. Universidad Nacional del Litoral; ArgentinaElsevier Science2011-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84085Chara, María de Los Ángeles; Toledano, R.; Rational places in extensions and sequences of function fields of Kummer type; Elsevier Science; Journal Of Pure And Applied Algebra; 215; 11; 11-2011; 2603-26140022-4049CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2011.03.003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:37:16Zoai:ri.conicet.gov.ar:11336/84085instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:37:16.382CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Rational places in extensions and sequences of function fields of Kummer type
title Rational places in extensions and sequences of function fields of Kummer type
spellingShingle Rational places in extensions and sequences of function fields of Kummer type
Chara, María de Los Ángeles
Function Fields
Finite Fields
Towers
Rational Places
title_short Rational places in extensions and sequences of function fields of Kummer type
title_full Rational places in extensions and sequences of function fields of Kummer type
title_fullStr Rational places in extensions and sequences of function fields of Kummer type
title_full_unstemmed Rational places in extensions and sequences of function fields of Kummer type
title_sort Rational places in extensions and sequences of function fields of Kummer type
dc.creator.none.fl_str_mv Chara, María de Los Ángeles
Toledano, R.
author Chara, María de Los Ángeles
author_facet Chara, María de Los Ángeles
Toledano, R.
author_role author
author2 Toledano, R.
author2_role author
dc.subject.none.fl_str_mv Function Fields
Finite Fields
Towers
Rational Places
topic Function Fields
Finite Fields
Towers
Rational Places
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we prove   results on the number of rational places in   extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step of   sequences of function fields over a finite field, that we call $(a,b)$-sequences. In the case of a prime field, we apply these results to the study of rational places in certain sequences of function fields of Kummer type.
Fil: Chara, María de Los Ángeles. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Toledano, R.. Universidad Nacional del Litoral; Argentina
description In this paper we prove   results on the number of rational places in   extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step of   sequences of function fields over a finite field, that we call $(a,b)$-sequences. In the case of a prime field, we apply these results to the study of rational places in certain sequences of function fields of Kummer type.
publishDate 2011
dc.date.none.fl_str_mv 2011-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/84085
Chara, María de Los Ángeles; Toledano, R.; Rational places in extensions and sequences of function fields of Kummer type; Elsevier Science; Journal Of Pure And Applied Algebra; 215; 11; 11-2011; 2603-2614
0022-4049
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84085
identifier_str_mv Chara, María de Los Ángeles; Toledano, R.; Rational places in extensions and sequences of function fields of Kummer type; Elsevier Science; Journal Of Pure And Applied Algebra; 215; 11; 11-2011; 2603-2614
0022-4049
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2011.03.003
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.232712

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