Untilts of fundamental groups: construction of labeled isomorphs of fundamental groups
Algebraic Geometry
2023-03-21 v4 Number Theory
Abstract
I show that one can explicitly construct topologically/geometrically distinguishable data which provide isomorphic copies (i.e. \emph{isomorphs}) of the tempered fundamental group of a geometrically connected, smooth, quasi-projective variety over -adic fields.
Cite
@article{arxiv.2010.05748,
title = {Untilts of fundamental groups: construction of labeled isomorphs of fundamental groups},
author = {Kirti Joshi},
journal= {arXiv preprint arXiv:2010.05748},
year = {2023}
}
Comments
This paper is replaced in (2022) by arXiv:2210.11635; this 2020 version will not be updated. Construction of Arithmetic Teichmuller spaces is detailed in (1) https://arxiv.org/abs/2106.11452 (2) https://arxiv.org/abs/2303.01662 (3) comparison with Mochizuki's Theory is https://arxiv.org/abs/2111.06771 (4) Also see: https://arxiv.org/abs/2003.01890. [Links updated]