English

Drinfeld modular curves have many points

Algebraic Geometry 2007-05-23 v1

Abstract

Ihara's proof that the reduction of the modular curve X0(n)X_0(n) at a prime pp not dividing nn has many points over a quadratic extension is adapted to the drinfeld modular curves X0(n)X_0(n). In order to do so, some properties of drinfeld modular varieties that have no proof in the literature are proven. The text is more or less self-contained.

Keywords

Cite

@article{arxiv.math/0602157,
  title  = {Drinfeld modular curves have many points},
  author = {Lenny Taelman},
  journal= {arXiv preprint arXiv:math/0602157},
  year   = {2007}
}