The arithmeticity of a Kodaira Fibration is determined by its universal cover
classification
🧮 math.AG
keywords
coverfibrationkodairauniversalalgebraicarithmeticitybiholomorphicclass
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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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