000163838 001__ 163838 000163838 005__ 20251107115329.0 000163838 0247_ $$2doi$$a10.1007/s00009-025-02860-z 000163838 0248_ $$2sideral$$a145914 000163838 037__ $$aART-2025-145914 000163838 041__ $$aeng 000163838 100__ $$aBadilla-Céspedes, Wágner 000163838 245__ $$aF-Pure Thresholds and F-Volumes of Some Non-Principal Ideals 000163838 260__ $$c2025 000163838 5060_ $$aAccess copy available to the general public$$fUnrestricted 000163838 5203_ $$aWe 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. 000163838 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000163838 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000163838 700__ $$0(orcid)0000-0002-3171-0334$$aLeón-Cardenal, Edwin$$uUniversidad de Zaragoza 000163838 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000163838 773__ $$g22, 4 (2025), [20 pp.]$$pMediterranean Journal of Mathematics$$tMediterranean Journal of Mathematics$$x1660-5446 000163838 8564_ $$s583494$$uhttps://zaguan.unizar.es/record/163838/files/texto_completo.pdf$$yVersión publicada 000163838 8564_ $$s2436123$$uhttps://zaguan.unizar.es/record/163838/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000163838 909CO $$ooai:zaguan.unizar.es:163838$$particulos$$pdriver 000163838 951__ $$a2025-11-07-10:25:44 000163838 980__ $$aARTICLE