On Smirnov's approach to the ABC conjecture
Number Theory
2024-01-17 v2 Algebraic Geometry
Abstract
We use algebraic geometry over pointed monoids to give an intrinsic interpretation for the compactification of the spectrum of the ring of integers of a number field , for the projective line over algebraic extensions of and for maps between them induced by elements of , as introduced by Alexander Smirnov in his approach to the ABC conjecture.
Keywords
Cite
@article{arxiv.2306.16637,
title = {On Smirnov's approach to the ABC conjecture},
author = {Manoel Jarra},
journal= {arXiv preprint arXiv:2306.16637},
year = {2024}
}
Comments
13 pages, minor corrections. arXiv admin note: text overlap with arXiv:2305.15953