On Drinfeld modular curves for SL(2).
Saved in:
| Title: | On Drinfeld modular curves for SL(2). |
|---|---|
| Authors: | Franklin, Jesse1 (AUTHOR) jfranklin1185@gmail.com, Ho, Sheng-Yang Kevin2 (AUTHOR) kevinho@ucsd.edu, Papikian, Mihran3 (AUTHOR) papikian@psu.edu |
| Source: | International Journal of Mathematics. Oct2025, Vol. 36 Issue 12, p1-35. 35p. |
| Subject Terms: | *ELLIPTIC curves, *MODULAR forms, *MODULAR groups, *COMBINATORICS, *MATHEMATICAL formulas |
| Abstract: | In this paper, we study the Drinfeld modular curves X 0 1 () arising from the Hecke congruence subgroups of S L 2 ( q [ T ]). By using a combinatorial method of Gekeler and Nonnengardt, we obtain a genus formula for these curves. Then, in cases when the genus of X 0 1 () is one, we compute the Weierstrass equation of the corresponding curve. Finally, we define and study the modular polynomial in this context, which gives a plane singular model of X 0 1 (). [ABSTRACT FROM AUTHOR] |
| Database: | Academic Search Index |
Nájsť tento článok vo Web of Science Be the first to leave a comment!