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An analogue of Liouville's Theorem and an application to cubic surfaces (1306.2977v1)

Published 12 Jun 2013 in math.AG and math.NT

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 $\P3$.

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