Poincaré series of multiplier and test ideals
We prove the rationality of the Poincaré series of multiplier ideals in any dimension and thus extending the main results for surfaces of Galindo and Monserrat and Alberich-Carramiñana et al. Our results also hold for Poincaré series of test ideals. In order to do so, we introduce a theory of Hilber...
| Autores: | , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2021 |
| 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:2117/341270 |
| Acceso en línea: | https://hdl.handle.net/2117/341270 |
| Access Level: | acceso abierto |
| Palabra clave: | Poincaré series Poincaré, Sèries de Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | We prove the rationality of the Poincaré series of multiplier ideals in any dimension and thus extending the main results for surfaces of Galindo and Monserrat and Alberich-Carramiñana et al. Our results also hold for Poincaré series of test ideals. In order to do so, we introduce a theory of Hilbert functions indexed over R which gives an unified treatment of both cases. |
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