English

Special geodesics and atypical intersections

Number Theory 2026-03-31 v1

Abstract

Let CC be a complex irreducible plane curve that is not the vanishing locus of a modular polynomial. We show that CC contains finitely many real algebraic curves whose projection on each coordinate axis is a union of special geodesics.

Keywords

Cite

@article{arxiv.2603.28465,
  title  = {Special geodesics and atypical intersections},
  author = {Matteo Tamiozzo},
  journal= {arXiv preprint arXiv:2603.28465},
  year   = {2026}
}
R2 v1 2026-07-01T11:44:10.260Z