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

Abstract

Let $S\to C$ be a Kodaira fibration. Here we show that whether or not the algebraic surface $S$ is defined over a number field depends only on the biholomorphic class of its universal cover.

arXiv comment5 pages

References in corpus (1)

• Surface bundles over surfaces of small genus

Cited by in corpus (2)

• On the one-dimensional family of Riemann surfaces of genus $q$ with $4q$ automorphisms
• Complex surfaces with mutually non-biholomorphic universal covers