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Effectivity in Mochizuki's work on the abcabc-conjecture

Published 14 Jan 2016 in math.NT | (1601.03572v1)

Abstract: This note outlines a constructive proof of a proposition in Mochizuki's paper "Arithmetic elliptic curves in general position," making a direct use of computable non-critical Belyi maps to effectively reduce the full abcabc-conjecture to a restricted form. Such a reduction means that an effective abcabc-theorem is implied by Theorem 1.10 of Mochizuki's final IUT paper ("Inter-universal Teichmuller theory IV: log-volume computations and set-theoretic foundations").

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