102080 20240410085607.0 doi 10.1016/j.aim.2020.107192 sideral 118120 ART-2020-118120 eng León-Cardenal, Edwin (orcid)0000-0002-3171-0334 Motivic zeta functions on Q-Gorenstein varieties 2020 Access copy available to the general public Unrestricted We study motivic zeta functions for Q-divisors in a Q-Gorenstein variety. By using a toric partial resolution of singularities we reduce this study to the local case of two normal crossing divisors where the ambient space is an abelian quotient singularity. For the latter we provide a closed formula which is worked out directly on the quotient singular variety. As a first application we provide a family of surface singularities where the use of weighted blow-ups reduces the set of candidate poles drastically. We also present an example of a quotient singularity under the action of a nonabelian group, from which we compute some invariants of motivic nature after constructing a Q-resolution. info:eu-repo/grantAgreement/ES/DGA/E22-17R info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón info:eu-repo/grantAgreement/ES/MCIU/CAS18-00473 info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.688 2020 MATHEMATICS 56 / 330 = 0.17 2020 Q1 T1 2.281 2020 Mathematics (miscellaneous) 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Martín-Morales, Jorge (orcid)0000-0002-6559-4722 Veys, Willem Viu-Sos, Juan 370 (2020), 107192 [34 pp] Adv. math. Advances in Mathematics 0001-8708 375021 http://zaguan.unizar.es/record/102080/files/texto_completo.pdf Postprint 2620611 http://zaguan.unizar.es/record/102080/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:102080 articulos driver 2024-04-10-08:43:11 ARTICLE