Effective computation of base points of ideals in two-dimensional local rings. (May 2019)

• Record Type: Journal Article
• Authors: Alberich-Carramiñana, Maria; Àlvarez Montaner, Josep; Blanco, Guillem
• Is Part Of: Journal of symbolic computation. Volume 92(2019)
• Page Start: 93
• Page End: 109
• Publication Date: 2019-05
• Subjects: Minimal log-resolution -- Weighted clusters -- Newton–Puiseux algorithm; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2018.01.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: 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.