English

Special curves in modular surfaces

Number Theory 2021-05-25 v1

Abstract

We show that geodesics in the upper half-plane attached to a maximal split torus or a real quadratic torus in GL2,QGL_{2, \mathbf{Q}} are the only irreducible algebraic curves whose image via the jj-invariant is contained in an algebraic curve.

Keywords

Cite

@article{arxiv.2105.11047,
  title  = {Special curves in modular surfaces},
  author = {Matteo Tamiozzo},
  journal= {arXiv preprint arXiv:2105.11047},
  year   = {2021}
}
R2 v1 2026-06-24T02:23:32.415Z