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dc.contributor.authorAlberich Carramiñana, Maria
dc.contributor.authorÁlvarez Montaner, Josep
dc.contributor.authorBlanco Fernández, Guillem
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada
dc.identifier.citationAlberich, M.; Alvarez, J.; Blanco, G. Monomial generators of complete planar ideals. "Journal of algebra and its applications", 1 Gener 2020.
dc.description.abstractWe provide an algorithm that computes a set of generators for any complete ideal in a smooth complex surface. More interestingly, these generators admit a presentation as monomials in a set of maximal contact elements associated to the minimal log-resolution of the ideal. Furthermore, the monomial expression given by our method is an equisingularity invariant of the ideal. As an outcome, we provide a geometric method to compute the integral closure of a planar ideal and we apply our algorithm to some families of complete ideals
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject.lcshAlgebraic geometry
dc.subject.lcshCommutative algebra
dc.subject.otherComplete ideals
dc.subject.otheraximal contact curves
dc.subject.otherMultiplier ideals
dc.titleMonomial generators of complete planar ideals
dc.subject.lemacGeometria algebraica
dc.subject.lemacÀlgebra commutativa
dc.contributor.groupUniversitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
local.citation.authorAlberich, M.; Alvarez, J.; Blanco, G.
local.citation.publicationNameJournal of algebra and its applications

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