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arXiv:2403.10430math.AG

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

Kirti Joshi

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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).

arXiv comments
80 Pages. This is an expanded and revised edition of my March 2024 submission and fixes the issues with the previous version
Journal reference
DOI
Subjects
math.AGAlgebraic Geometry math.NTNumber Theory

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