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arXiv · 1701.03503

Monomial generators of complete planar ideals

Maria Alberich-Carramiñana·Josep Alvarez Montaner·Guillem Blanco
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Abstract

We 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.

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Maria Alberich-Carramiñana, Josep Alvarez Montaner, Guillem Blanco. 2017-01-12. Monomial generators of complete planar ideals. https://arxiv.org/abs/1701.03503

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