F-Pure Thresholds and F-Volumes of Some Non-Principal IdealsF-Pure Thresholds and F-VolumesW. Badilla-Céspedes, E. Leòn-Cardenal

被引：0

作者：

Wágner Badilla-Céspedes ^{[1
]}

Edwin León-Cardenal ^{[2
]}

机构：

[1] UNAM,Centro de Ciencias Matemáticas

[2] Universidad de La Rioja,Departamento de Matemáticas y Computación

来源：

Mediterranean Journal of Mathematics | 2025年 / 22卷 / 4期

关键词：

-pure thresholds; -volumes; Non-principal ideals; Newton polyhedra; Splitting polytopes.; Primary 13A35; Secondary 14B05; 14M25.;

D O I：

10.1007/s00009-025-02860-z

中图分类号：

学科分类号：

摘要：

We compute the F-pure threshold of some non-principal ideals which satisfy a geometric generic condition about their Newton polyhedron. We also contribute some evidence in favor of the conjectured equality between the F-pure threshold and the log canonical threshold of ideals for infinitely many primes p. These results are obtained by generalizing the theory of splitting polytopes to the case of ideals. As an application of our results, we obtain geometric lower bounds for the recently introduced F-volume of a collection of ideals.

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