Poincar\'e series of multiplier and test ideals
| Autor: | Montaner, Josep Àlvarez, Núñez-Betancourt, Luis |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove the rationality of the Poincar\'e series of multiplier ideals in any dimension and thus extending the main results for surfaces of Galindo and Monserrat and Alberich-Carrami\~nana et al. Our results also hold for Poincar\'e series of test ideals. In order to do so, we introduce a theory of Hilbert functions indexed over $\mathbb{R}$ which gives an unified treatment of both cases. Comment: 16 pages. Comments welcome |
| Databáze: | arXiv |
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