Castelnuovo–Mumford regularity of projective monomial curves via sumsets

Producción Científica

Detalhes bibliográficos
Autores: Giménez, Philippe Thierry, González Sánchez, Mario
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2023
País:España
Recursos:Universidad de Valladolid
Repositório:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/61604
Acesso em linha:https://doi.org/10.1007/s00009-023-02482-3
https://uvadoc.uva.es/handle/10324/61604
Access Level:Acceso aberto
Palavra-chave:Castelnuovo–Mumford regularity
Projective monomial curve
Semigroup ring
Sumset
Apery set
12 Matemáticas
id ES_9c0fd7c5d1254f270e5f96a73dfc1946
oai_identifier_str oai:uvadoc.uva.es:10324/61604
network_acronym_str ES
network_name_str España
repository_id_str
spelling Castelnuovo–Mumford regularity of projective monomial curves via sumsetsGiménez, Philippe ThierryGonzález Sánchez, MarioCastelnuovo–Mumford regularityProjective monomial curveSemigroup ringSumsetApery set12 MatemáticasProducción CientíficaLet A={a0,…,an−1} be a finite set of n≥4 non-negative relatively prime integers, such that 0=a0<a1<⋯<an−1=d. The s-fold sumset of A is the set sA of integers that contains all the sums of s elements in A. On the other hand, given an infinite field k, one can associate with A the projective monomial curve CA parametrized by A, CA={(vd:ua1vd−a1:⋯:uan−2vd−an−2:ud)∣(u:v)∈P1k}⊂Pn−1k. The exponents in the previous parametrization of CA define a homogeneous semigroup S⊂N2. We provide several results relating the Castelnuovo–Mumford regularity of CA to the behavior of the sumsets of A and to the combinatorics of the semigroup S that reveal a new interplay between commutative algebra and additive number theory.Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLESpringer2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://doi.org/10.1007/s00009-023-02482-3https://uvadoc.uva.es/handle/10324/61604reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://link.springer.com/article/10.1007/s00009-023-02482-3info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:uvadoc.uva.es:10324/616042026-06-13T12:44:47Z
dc.title.none.fl_str_mv Castelnuovo–Mumford regularity of projective monomial curves via sumsets
title Castelnuovo–Mumford regularity of projective monomial curves via sumsets
spellingShingle Castelnuovo–Mumford regularity of projective monomial curves via sumsets
Giménez, Philippe Thierry
Castelnuovo–Mumford regularity
Projective monomial curve
Semigroup ring
Sumset
Apery set
12 Matemáticas
title_short Castelnuovo–Mumford regularity of projective monomial curves via sumsets
title_full Castelnuovo–Mumford regularity of projective monomial curves via sumsets
title_fullStr Castelnuovo–Mumford regularity of projective monomial curves via sumsets
title_full_unstemmed Castelnuovo–Mumford regularity of projective monomial curves via sumsets
title_sort Castelnuovo–Mumford regularity of projective monomial curves via sumsets
dc.creator.none.fl_str_mv Giménez, Philippe Thierry
González Sánchez, Mario
author Giménez, Philippe Thierry
author_facet Giménez, Philippe Thierry
González Sánchez, Mario
author_role author
author2 González Sánchez, Mario
author2_role author
dc.subject.none.fl_str_mv Castelnuovo–Mumford regularity
Projective monomial curve
Semigroup ring
Sumset
Apery set
12 Matemáticas
topic Castelnuovo–Mumford regularity
Projective monomial curve
Semigroup ring
Sumset
Apery set
12 Matemáticas
description Producción Científica
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1007/s00009-023-02482-3
https://uvadoc.uva.es/handle/10324/61604
url https://doi.org/10.1007/s00009-023-02482-3
https://uvadoc.uva.es/handle/10324/61604
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s00009-023-02482-3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869414624863977472
score 15,300724

Registros relacionados