On Drinfeld modular curves for SL(2)
Number Theory
2024-08-02 v1
Abstract
We study the Drinfeld modular curves arising from the Hecke congruence subgroups of . Using a combinatorial method of Gekeler and Nonnengardt, we obtain a genus formula for these curves. In cases when the genus is one, we compute the Weierstrass equation of the corresponding curve.
Cite
@article{arxiv.2408.00198,
title = {On Drinfeld modular curves for SL(2)},
author = {Jesse Franklin and Sheng-Yang Kevin Ho and Mihran Papikian},
journal= {arXiv preprint arXiv:2408.00198},
year = {2024}
}
Comments
26 pages