Monomial generators of complete planar ideals
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 e...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/180848 |
| Acceso en línea: | https://hdl.handle.net/2117/180848 https://dx.doi.org/10.1142/S0219498821500328 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebraic geometry Commutative algebra Complete ideals aximal contact curves Multiplier ideals Geometria algebraica Àlgebra commutativa Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Sumario: | 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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