Effective computation of base points of ideals in two-dimensional local rings

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Title:	Effective computation of base points of ideals in two-dimensional local rings
Author:	Alberich Carramiñana, Maria; Álvarez Montaner, Josep; Blanco Fernández, Guillem
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Abstract:	© 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm effective we present a modified version of the Newton-Puiseux algorithm that computes the Puiseux decomposition of a product of not necessarily reduced or irreducible elements together with their algebraic multiplicity in each factor.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Algebraic geometry -Minimal log-resolution -Newton-Puiseux algorithm -weighted clusters -Geometria algebraica
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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