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Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations

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Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations

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dc.contributor.author Bivià-Ausina, Carles es_ES
dc.contributor.author Encinas, Santiago es_ES
dc.date.accessioned 2014-05-16T09:48:30Z
dc.date.issued 2013-07
dc.identifier.issn 1139-1138
dc.identifier.uri http://hdl.handle.net/10251/37517
dc.description.abstract We give an expression for the Lojasiewicz exponent of a wide class of n-tuples of ideals (I (1),aEuro broken vertical bar,I (n) ) in using the information given by a fixed Newton filtration. In order to obtain this expression we consider a reformulation of Lojasiewicz exponents in terms of Rees mixed multiplicities. As a consequence, we obtain a wide class of semi-weighted homogeneous functions f:(a", (n) ,0)->(a",,0) for which the Lojasiewicz of its gradient map a double dagger f attains the maximum possible value. es_ES
dc.description.sponsorship The first author was partially supported by DGICYT Grant MTM2009-08933. The second author was partially supported by DGICYT Grant MTM2009-07291 and CCG08-UAM/ESP-3928. en_EN
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Revista Matemática Complutense es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Lojasiewicz exponents es_ES
dc.subject Integral closure of ideals es_ES
dc.subject Mixed multiplicities of ideals es_ES
dc.subject Monomial ideals. es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13163-012-0104-0
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-08933/ES/Singularidades, Geometria Generica Y Morfologia Matematica/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UAM//CCG08-UAM%2FESP-3928/ES/NUEVOS RESULTADOS PARA EL ESTUDIO DE LAS SINGULARIDADES SOBRE CUERPOS ARBITRARIOS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-07291/ES/Geometria Algebraica Y Aritmetica/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Bivià-Ausina, C.; Encinas, S. (2013). Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations. Revista Matemática Complutense. 26(2):773-798. https://doi.org/10.1007/s13163-012-0104-0 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s13163-012-0104-0 es_ES
dc.description.upvformatpinicio 773 es_ES
dc.description.upvformatpfin 798 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 26 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 256415
dc.contributor.funder Universidad Autónoma de Madrid es_ES
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