English

Shimura curves admitting a smooth plane model

Number Theory 2023-10-19 v1 Algebraic Geometry

Abstract

We prove that there are no Shimura curves X0D(N)X_0^D(N) of squarefree level and of genus at least two admitting a smooth plane model.

Cite

@article{arxiv.2310.11767,
  title  = {Shimura curves admitting a smooth plane model},
  author = {Oana Padurariu},
  journal= {arXiv preprint arXiv:2310.11767},
  year   = {2023}
}

Comments

7 pages

R2 v1 2026-06-28T12:54:05.833Z