Construction of Arithmetic Teichmuller Spaces IV: Proof of the abc-conjecture

Abstract

This is a continuation of my work on Arithmetic Teichmuller Spaces developed in the present series of papers. In this paper, I show that the Theory of Arithmetic Teichmuller Spaces leads, using Shinichi Mochizuki's rubric, to a proof of the $abc$-conjecture (as asserted by Mochizuki).

80 Pages. This is an expanded and revised edition of my March 2024 submission and fixes the issues with the previous version