000102080 001__ 102080 000102080 005__ 20240410085607.0 000102080 0247_ $$2doi$$a10.1016/j.aim.2020.107192 000102080 0248_ $$2sideral$$a118120 000102080 037__ $$aART-2020-118120 000102080 041__ $$aeng 000102080 100__ $$0(orcid)0000-0002-3171-0334$$aLeón-Cardenal, Edwin 000102080 245__ $$aMotivic zeta functions on Q-Gorenstein varieties 000102080 260__ $$c2020 000102080 5060_ $$aAccess copy available to the general public$$fUnrestricted 000102080 5203_ $$aWe study motivic zeta functions for Q-divisors in a Q-Gorenstein variety. By using a toric partial resolution of singularities we reduce this study to the local case of two normal crossing divisors where the ambient space is an abelian quotient singularity. For the latter we provide a closed formula which is worked out directly on the quotient singular variety. As a first application we provide a family of surface singularities where the use of weighted blow-ups reduces the set of candidate poles drastically. We also present an example of a quotient singularity under the action of a nonabelian group, from which we compute some invariants of motivic nature after constructing a Q-resolution. 000102080 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-17R$$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón$$9info:eu-repo/grantAgreement/ES/MCIU/CAS18-00473$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P 000102080 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000102080 590__ $$a1.688$$b2020 000102080 591__ $$aMATHEMATICS$$b56 / 330 = 0.17$$c2020$$dQ1$$eT1 000102080 592__ $$a2.281$$b2020 000102080 593__ $$aMathematics (miscellaneous)$$c2020$$dQ1 000102080 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000102080 700__ $$0(orcid)0000-0002-6559-4722$$aMartín-Morales, Jorge 000102080 700__ $$aVeys, Willem 000102080 700__ $$aViu-Sos, Juan 000102080 773__ $$g370 (2020), 107192 [34 pp]$$pAdv. math.$$tAdvances in Mathematics$$x0001-8708 000102080 8564_ $$s375021$$uhttps://zaguan.unizar.es/record/102080/files/texto_completo.pdf$$yPostprint 000102080 8564_ $$s2620611$$uhttps://zaguan.unizar.es/record/102080/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000102080 909CO $$ooai:zaguan.unizar.es:102080$$particulos$$pdriver 000102080 951__ $$a2024-04-10-08:43:11 000102080 980__ $$aARTICLE