Lojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations
We give an expression for the Lojasiewicz exponent of a wide class of n-tuples of ideals (I (1),aEuro broken vertical bar,I (n) ) in using the information given by a fixed Newton filtration. In order to obtain this expression we consider a reformulation of Lojasiewicz exponents in terms of Rees mixe...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/37517 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/37517 |
| Access Level: | acceso abierto |
| Palabra clave: | Lojasiewicz exponents Integral closure of ideals Mixed multiplicities of ideals Monomial ideals. MATEMATICA APLICADA |
| Sumario: | We give an expression for the Lojasiewicz exponent of a wide class of n-tuples of ideals (I (1),aEuro broken vertical bar,I (n) ) in using the information given by a fixed Newton filtration. In order to obtain this expression we consider a reformulation of Lojasiewicz exponents in terms of Rees mixed multiplicities. As a consequence, we obtain a wide class of semi-weighted homogeneous functions f:(a", (n) ,0)->(a",,0) for which the Lojasiewicz of its gradient map a double dagger f attains the maximum possible value. |
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