基本群的反倾斜:带标记基本群同构体的构造
代数几何
2023-03-21 v4 数论
摘要
我证明了可以显式地构造拓扑上/几何上可区分的数据,这些数据提供了 -进域上几何连通、光滑、拟射影簇的 tempered 基本群的同构副本(即\emph{同构体})。
引用
@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}
}
备注
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]