English

An explicit Andr\'e-Oort type result for P^1(C) x G_m(C)

Number Theory 2023-07-19 v1

Abstract

Using class field theory we prove an explicit result of Andr\'e-Oort type for P1(C)×Gm(C)\mathbb{P}^1(\mathbb{C}) \times \mathbb{G}_m(\mathbb{C}). In this variation the special points of P1(C)\mathbb{P}^1(\mathbb{C}) are the singular moduli, while the special points of Gm(C)\mathbb{G}_m(\mathbb{C}) are defined to be the roots of unity.

Cite

@article{arxiv.1403.2264,
  title  = {An explicit Andr\'e-Oort type result for P^1(C) x G_m(C)},
  author = {Roland Paulin},
  journal= {arXiv preprint arXiv:1403.2264},
  year   = {2023}
}

Comments

10 pages

R2 v1 2026-06-22T03:23:33.842Z