The arithmeticity of a Kodaira fibration is determined by its universal cover
Gabino González-Diez
Universidad Autónoma de Madrid, SpainSebastián Reyes-Carocca
Universidad Autónoma de Madrid, Spain
Abstract
Let be a Kodaira fibration. Here we show that whether or not the algebraic surface is defined over a number field depends only on the biholomorphic class of its universal cover.
Cite this article
Gabino González-Diez, Sebastián Reyes-Carocca, The arithmeticity of a Kodaira fibration is determined by its universal cover. Comment. Math. Helv. 90 (2015), no. 2, pp. 429–434
DOI 10.4171/CMH/359