English

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

Algebraic Geometry 2025-02-25 v2 Number Theory

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 abcabc-conjecture (as asserted by Mochizuki).

Keywords

Cite

@article{arxiv.2403.10430,
  title  = {Construction of Arithmetic Teichmuller Spaces IV: Proof of the abc-conjecture},
  author = {Kirti Joshi},
  journal= {arXiv preprint arXiv:2403.10430},
  year   = {2025}
}

Comments

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