Effective computation of base points of ideals in two-dimensional local rings
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© 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.
CitationAlberich, M., Alvarez, J., Blanco, G. Effective computation of base points of ideals in two-dimensional local rings. "Journal of symbolic computation", 4 Gener 2018, vol.92, p. 93-109
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