The special closure of polynomial maps and global non-degeneracy
[EN] Let F : C-n -> C-n be a polynomial map such that F-1 (0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analyt...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| 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:10251/149718 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/149718 |
| Access Level: | acceso abierto |
| Palabra clave: | Polynomial maps Multiplicity Integral closure Newton polyhedron MATEMATICA APLICADA |
| Sumario: | [EN] Let F : C-n -> C-n be a polynomial map such that F-1 (0) is finite. We analyze the connections between the multiplicity of F, the Newton polyhedron of F and the set of special monomials with respect to F, which is a notion motivated by the integral closure of ideals in the ring of analytic function germs (C-n, 0) -> C. In particular, we characterize the polynomial maps whose set of special monomials is maximal. |
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