Untilts of fundamental groups: construction of labeled isomorphs of fundamental groups

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 $p$-adic fields.

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]

References in corpus (2)

• Géométrie anabélienne tempérée
• The Absolute Grothendieck Conjecture is false for Fargues-Fontaine Curves