庞加莱系列乘数和试验理想

IF 1.3 2区数学 Q1 MATHEMATICS

Revista Matematica Iberoamericana Pub Date : 2021-02-16 DOI:10.4171/rmi/1347

J. À. Montaner, Luis N'unez-Betancourt

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引用次数: 1

摘要

我们证明了庞加莱系列乘子理想在任何维度上的合理性，从而推广了Galindo、Monserrat和Alberich-Carrami等曲面上的主要结果。我们的结果也适用于庞加莱系列的测试理想。为了做到这一点，我们引入了$\mathbb{R}$上索引的希尔伯特函数理论，它给出了这两种情况的统一处理。

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Poincaré series of multiplier and test ideals

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.

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来源期刊

Revista Matematica Iberoamericana 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.