Cyclic coverings of rational normal surfaces which are quotients of a product of curves

Artal Bartolo, Enrique (Universidad de Zaragoza) ; Cogolludo-Agustín, José Ignacio (Universidad de Zaragoza) ; Martín-Morales, Jorge (Universidad de Zaragoza)

Resumen: This paper deals with cyclic covers of a large family of rational normal surfaces that can also be described as quotients of a product, where the factors are cyclic covers of algebraic curves. We use a generalization of the Esnault–Viehweg method to show that the action of the monodromy on the first Betti group of the covering (and its Hodge structure) splits as a direct sum of the same data for some specific cyclic covers over P1.
This has applications to the study of Lˆe–Yomdin surface singularities, in particular to the action of the monodromy on the mixed Hodge structure, as well as to isotrivial fibered surfaces.

Idioma: Inglés

DOI: 10.5565/PUBLMAT6822402

Año: 2024

Publicado en: Publicacions Matematiques 68, 2 (2024), 359-406
ISSN: 0214-1493

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033
Financiación: info:eu-repo/grantAgreement/ES/MICINN/RYC2021-034300-I

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)