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Analytic spread and integral closure of integrally decomposable modules

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Analytic spread and integral closure of integrally decomposable modules

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dc.contributor.author Bivià-Ausina, Carles es_ES
dc.contributor.author Montaño, Jonathan es_ES
dc.date.accessioned 2023-11-28T19:02:13Z
dc.date.available 2023-11-28T19:02:13Z
dc.date.issued 2022-03 es_ES
dc.identifier.issn 0027-7630 es_ES
dc.identifier.uri http://hdl.handle.net/10251/200292
dc.description.abstract [EN] We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integral closure can be expressed in terms of the integral closure of its row ideals, and therefore can be obtained by means of a simple computer algebra procedure. In particular, we analyze a class of modules, not necessarily of maximal rank, whose integral closure is determined by the family of Newton polyhedra of their row ideals. es_ES
dc.description.sponsorship This work started during the stay of the authors at the Mathematisches Forschungsinstitut Oberwolfach in June 2018. The authors wish to thank this institution for hospitality and financial support. Carles Bivia-Ausina also acknowledges the Department of Mathematical Sciences of New Mexico State University (Las Cruces, NM) also for hospitality and financial support. We also acknowledge Prof. F. Hayasaka for informing us about the existence of his preprint [23]. es_ES
dc.language Inglés es_ES
dc.publisher Cambridge University Press es_ES
dc.relation.ispartof Nagoya Mathematical Journal es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Integral closure es_ES
dc.subject Analytic spread es_ES
dc.subject Buchsbaum-Rim multiplicity es_ES
dc.subject Newton polyhedra es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Analytic spread and integral closure of integrally decomposable modules es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1017/nmj.2020.35 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-094889-B-I00/ES/SINGULARIDADES, GEOMETRIA GENERICA Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials es_ES
dc.description.bibliographicCitation Bivià-Ausina, C.; Montaño, J. (2022). Analytic spread and integral closure of integrally decomposable modules. Nagoya Mathematical Journal. 245:166-191. https://doi.org/10.1017/nmj.2020.35 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1017/nmj.2020.35 es_ES
dc.description.upvformatpinicio 166 es_ES
dc.description.upvformatpfin 191 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 245 es_ES
dc.relation.pasarela S\462885 es_ES
dc.contributor.funder New Mexico State University es_ES
dc.contributor.funder MINISTERIO DE CIENCIA, INNOVACIÓN Y UNIVERSIDADES es_ES


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