An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$
Algebraic Geometry
2025-06-27 v1 Number Theory
Abstract
Let be a number field with ring of integers . We describe and classify finite, flat, and linearly reductive subgroup schemes of over . We also establish finiteness results for these group schemes, as well as density results for the associated quotient singularities.
Cite
@article{arxiv.2506.21210,
title = {An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$},
author = {Christian Liedtke and Matthew Satriano},
journal= {arXiv preprint arXiv:2506.21210},
year = {2025}
}
Comments
43 pages, comments welcome!