Geodesic
On the cuspidal divisor class group of a Drinfeld modular curve
Documenta mathematica, Tome 2 (1997), pp. 351-374.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The theory of theta functions for arithmetic groups $\Gamma$ that act on the Drinfeld upper half-plane is extended to allow degenerate parameters. This is used to investigate the cuspidal divisor class groups of Drinfeld modular curves. These groups are finite for congruence subgroups $\Gamma$ and may be described through the corresponding quotients of the Bruhat-Tits tree by $\Gamma$. The description given is fairly explicit, notably in the most important special case of Hecke congruence subgroups $\Gamma$ over a polynomial ring.
Classification : 11G09, 11G18, 11F11, 11F12
Keywords: Drinfeld modular curves, theta functions, cuspidal divisor class groups 
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     author = {Gekeler, Ernst-Ulrich},
     title = {On the cuspidal divisor class group of a {Drinfeld} modular curve},
     journal = {Documenta mathematica},
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     year = {1997},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a1/}
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Gekeler, Ernst-Ulrich. On the cuspidal divisor class group of a Drinfeld modular curve. Documenta mathematica, Tome 2 (1997), pp. 351-374. http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a1/