Geodesic
On the cuspidal divisor class group of a Drinfeld modular curve
Documenta mathematica, Tome 2 (1997), pp. 351-374
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The theory of theta functions for arithmetic groups Γ 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 Γ and may be described through the corresponding quotients of the Bruhat-Tits tree by Γ. The description given is fairly explicit, notably in the most important special case of Hecke congruence subgroups Γ over a polynomial ring.
DOI : 10.4171/dm/34
Classification : 11F11, 11F12, 11G09, 11G18
Mots-clés : Drinfeld modular curves, theta functions, cuspidal divisor class groups 
@article{10_4171_dm_34,
     author = {Ernst-Ulrich Gekeler},
     title = {On the cuspidal divisor class group of a {Drinfeld} modular curve},
     journal = {Documenta mathematica},
     pages = {351--374},
     year = {1997},
     volume = {2},
     doi = {10.4171/dm/34},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/34/}
}
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Ernst-Ulrich Gekeler. On the cuspidal divisor class group of a Drinfeld modular curve. Documenta mathematica, Tome 2 (1997), pp. 351-374. doi: 10.4171/dm/34

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