Monodromy conjecture for some surface singularities
In this work we give a formula for the local Denef–Loeser zeta function of a superisolated singularity of hypersurface in terms of the local Denef–Loeser zeta function of the singularities of its tangent cone. We prove the monodromy conjecture for some surfaces singularities. These results are appli...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57103 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57103 |
| Access Level: | acceso abierto |
| Palabra clave: | 512.7 Topological zeta function Monodromy conjecture Local Denef-Loeser zeta function Superisolated singularity of hypersurface Rational arrangements of plane curves Geometria algebraica 1201.01 Geometría Algebraica |
| Sumario: | In this work we give a formula for the local Denef–Loeser zeta function of a superisolated singularity of hypersurface in terms of the local Denef–Loeser zeta function of the singularities of its tangent cone. We prove the monodromy conjecture for some surfaces singularities. These results are applied to the study of rational arrangements of plane curves whose Euler–Poincaré characteristic is three. |
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