Growth at infinity and index of polynomial maps
Let F: Kn→Kn be a polynomial map such that F−1(0) is compact, where View the MathML source. Then we give a condition implying that there is a uniform bound for the Łojasiewicz exponent at infinity in certain deformations of F. This fact gives a result about the invariance of the global index of F...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/67289 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/67289 |
| Access Level: | acceso abierto |
| Palavra-chave: | Topological index Polynomial vector fields Newton polyhedron Łojasiewicz exponent at infinity MATEMATICA APLICADA |
| Resumo: | Let F: Kn→Kn be a polynomial map such that F−1(0) is compact, where View the MathML source. Then we give a condition implying that there is a uniform bound for the Łojasiewicz exponent at infinity in certain deformations of F. This fact gives a result about the invariance of the global index of F |
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