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arXiv · 1306.2977

An analogue of Liouville's Theorem and an application to cubic surfaces

David McKinnon·Michael Roth
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Abstract

We prove a strong analogue of Liouville's Theorem in Diophantine approximation for points on arbitrary algebraic varieties. We use this theorem to prove a conjecture of the first author for cubic surfaces in $¶^3$.

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David McKinnon, Michael Roth. 2013-06-12. An analogue of Liouville's Theorem and an application to cubic surfaces. https://arxiv.org/abs/1306.2977

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