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

  • Gabino González-Diez

    Universidad Autónoma de Madrid, Spain
  • Sebastián 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