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An analogue of Liouville's Theorem and an application to cubic surfaces
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An analogue of Liouville's Theorem and an application to cubic surfaces
classification
math.AG
math.NT
keywords
theoremanaloguecubicliouvilleprovesurfacesalgebraicapplication
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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 $\P^3$.
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