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ABC inequalities for some moduli spaces of log-general type

Minhyong Kim
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Abstract

We prove a new bound for the Arakelov-Faltings height of an abelian variety over a function field of characteristic zero and relate it to inequalities of ABC-type as conjectured by Buium and Vojta.

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Minhyong Kim. 1998-09-26. ABC inequalities for some moduli spaces of log-general type. https://arxiv.org/abs/math/9809150

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