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arXiv · 1609.04685

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

Gabino González-Diez·Sebastián Reyes-Carocca
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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.

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Gabino González-Diez, Sebastián Reyes-Carocca. 2016-09-15. The arithmeticity of a Kodaira Fibration is determined by its universal cover. https://doi.org/10.4171/cmh/359

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