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Integral points of bounded degree on affine curves
Published online by Cambridge University Press: 26 November 2015
Abstract
We generalize Siegel’s theorem on integral points on affine curves to integral points of bounded degree, giving a complete characterization of affine curves with infinitely many integral points of degree $d$ or less over some number field. Generalizing Picard’s theorem, we prove an analogous result characterizing complex affine curves admitting a nonconstant holomorphic map from a degree $d$ (or less) analytic cover of $\mathbb{C}$.
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- Research Article
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- © The Author 2015
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