The arithmeticity of a Kodaira fibration is determined by its universal cover

DOI10.4171/CMH/359zbMath1323.30054arXiv1609.04685MaRDI QIDQ2351858

Sebastián Reyes-Carocca, Gabino Gonzáles-Diez

Publication date: 26 June 2015

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04685

zbMATH Keywords

fields of definitionuniversal coverscompact complex spacesKodaira fibrations

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Compact Riemann surfaces and uniformization (30F10) Fibrations, degenerations in algebraic geometry (14D06) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Surfaces of general type (14J29) Special surfaces (14J25)

Related Items (6)

Galois action on Fuchsian surface groups and their solenoids ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Galois action on universal covers of Kodaira fibrations ⋮ Families of Riemann surfaces, uniformization and arithmeticity ⋮ On the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphisms ⋮ Complex surfaces with mutually non-biholomorphic universal covers

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