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

Publication

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

Journal Article (2019)

Journal

Journal of Symbolic Computation

Pages

93-109

Volume

Doc link

https://doi.org/10.1016/j.jsc.2018.01.001

File

Download the digital copy of the doc pdf document

Authors

Alberich Carramiñana, Maria
Àlvarez Montaner, Josep
Blanco Fernández, Guillem

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.

Author keywords

Minimal log-resolution, Ideal, Weighted clusters, Newton–Puiseux algorithm, Base points

Scientific reference

M. Alberich-Carramiñana, J. Àlvarez and G. Blanco. Effective computation of base points of ideals in two-dimensional local rings. Journal of Symbolic Computation, 92: 93-109, 2019.