Symbolic powers of edge ideals

Detalhes bibliográficos
Autor(a) principal: Bahiano, Carlos Eduardo Nogueira
Data de Publicação: 2004
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/7734
Resumo: Texto completo: acesso restrito. p. 517-537.
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spelling Bahiano, Carlos Eduardo NogueiraBahiano, Carlos Eduardo Nogueira2013-01-03T19:43:05Z20040021-8693http://www.repositorio.ufba.br/ri/handle/ri/7734v. 273, n. 2Texto completo: acesso restrito. p. 517-537.Let I ⊂ R = k[X] = k[X1, . . . , Xn] be an ideal in a polynomial ring over the field k. We define the essential symbolic module of I to be the R/I -module F(I ) = r 2(I (r)/Σr (I )), where Σr (I ) = r−1 ı=1 I (ı)I (r−ı) and I(m) stands for the mth symbolic power of I. We will mainly focus on the case where I is generated by square-free monomials of degree two. Among our main results are optimal bounds for the degrees of the minimal generators of F(I ), several criteria for a monomial to be such a generator and an upper bound for the generation type of the symbolic Rees algebra of I . As a byproduct we recapture the result of Simis, Vasconcelos, and Villarreal on when such an ideal is normally torsionfree.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2013-01-03T19:43:05Z No. of bitstreams: 1 1-s2.0-S0021869303004630-main.pdf: 304940 bytes, checksum: cdd08429113e1da39170fab3737d0600 (MD5)Made available in DSpace on 2013-01-03T19:43:05Z (GMT). No. of bitstreams: 1 1-s2.0-S0021869303004630-main.pdf: 304940 bytes, checksum: cdd08429113e1da39170fab3737d0600 (MD5) Previous issue date: 2004Elservierhttp://dx.doi.org/10.1016/S0021-8693(03)00463-0reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBASymbolic powers of edge idealsJournal of Algebrainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/7734/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52ORIGINAL1-s2.0-S0021869303004630-main.pdf1-s2.0-S0021869303004630-main.pdfapplication/pdf304940https://repositorio.ufba.br/bitstream/ri/7734/1/1-s2.0-S0021869303004630-main.pdfcdd08429113e1da39170fab3737d0600MD51TEXT1-s2.0-S0021869303004630-main.pdf.txt1-s2.0-S0021869303004630-main.pdf.txtExtracted texttext/plain48395https://repositorio.ufba.br/bitstream/ri/7734/3/1-s2.0-S0021869303004630-main.pdf.txt1801d10c92c0e834739ec54aabee290cMD53ri/77342022-09-23 08:52:13.985oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-09-23T11:52:13Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Symbolic powers of edge ideals
dc.title.alternative.pt_BR.fl_str_mv Journal of Algebra
title Symbolic powers of edge ideals
spellingShingle Symbolic powers of edge ideals
Bahiano, Carlos Eduardo Nogueira
title_short Symbolic powers of edge ideals
title_full Symbolic powers of edge ideals
title_fullStr Symbolic powers of edge ideals
title_full_unstemmed Symbolic powers of edge ideals
title_sort Symbolic powers of edge ideals
author Bahiano, Carlos Eduardo Nogueira
author_facet Bahiano, Carlos Eduardo Nogueira
author_role author
dc.contributor.author.fl_str_mv Bahiano, Carlos Eduardo Nogueira
Bahiano, Carlos Eduardo Nogueira
description Texto completo: acesso restrito. p. 517-537.
publishDate 2004
dc.date.issued.fl_str_mv 2004
dc.date.accessioned.fl_str_mv 2013-01-03T19:43:05Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/7734
dc.identifier.issn.none.fl_str_mv 0021-8693
dc.identifier.number.pt_BR.fl_str_mv v. 273, n. 2
identifier_str_mv 0021-8693
v. 273, n. 2
url http://www.repositorio.ufba.br/ri/handle/ri/7734
dc.language.iso.fl_str_mv eng
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