On Drinfeld modular curves for SL(2)
We study the Drinfeld modular curves arising from the Hecke congruence subgroups of $\mathrm{SL}_2(\mathbb{F}_q[T])$. 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 corres...
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| Zusammenfassung: | We study the Drinfeld modular curves arising from the Hecke congruence
subgroups of $\mathrm{SL}_2(\mathbb{F}_q[T])$. 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. |
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| DOI: | 10.48550/arxiv.2408.00198 |