163838 20251107115329.0 doi 10.1007/s00009-025-02860-z sideral 145914 ART-2025-145914 eng Badilla-Céspedes, Wágner F-Pure Thresholds and F-Volumes of Some Non-Principal Ideals 2025 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. Access copy available to the general public Unrestricted info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion León-Cardenal, Edwin Universidad de Zaragoza (orcid)0000-0002-3171-0334 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 22, 4 (2025), [20 pp.] Mediterranean Journal of Mathematics Mediterranean Journal of Mathematics 1660-5446 583494 http://zaguan.unizar.es/record/163838/files/texto_completo.pdf Versión publicada 2436123 http://zaguan.unizar.es/record/163838/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:163838 articulos driver 2025-11-07-10:25:44 ARTICLE