Motivic zeta functions on Q-Gorenstein varieties

León-Cardenal, Edwin ; Martín-Morales, Jorge ; Veys, Willem ; Viu-Sos, Juan

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.aim.2020.107192

Año: 2020

Publicado en: Advances in Mathematics 370 (2020), 107192 [34 pp]
ISSN: 0001-8708

Factor impacto JCR: 1.688 (2020)

Categ. JCR: MATHEMATICS rank: 56 / 330 = 0.17 (2020) - Q1 - T1

Factor impacto SCIMAGO: 2.281 - Mathematics (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-17R
Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón
Financiación: info:eu-repo/grantAgreement/ES/MCIU/CAS18-00473
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2016-76868-C2-2-P

Tipo y forma: Article (PostPrint)