望月关于$abc$ -猜想的工作中的连续性
Effectivity in Mochizuki's work on the $abc$-conjecture
摘要：
本文概述了一个建设性的证明一个命题Mochizuki的文件“算术椭圆曲线在一般的立场，"直接使用可计算的非临界Belyi映射，以有效地减少充分的$abc$ -猜想的限制形式。这样的简化意味着一个有效的$abc$ -定理被Mochizuki最后的IUT论文（“Inter-universal Teichmuller theory IV：log-volume computations and set-theoretical foundations”）的定理1.10所隐含。
英文摘要：
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 $abc$-conjecture to a restricted form. Such a reduction means that an effective $abc$-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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