Nous décrivons la géométrie analytique rigide de la première couche dans la tour de revêtements du demi-plan -adique construit par Drinfeld. En utilisant nos résultats, nous décrivons le fibré spécial stable en de certaines courbes de Shimura.
We describe the rigid geometry of the first layer in the tower of coverings of the -adic upper half plane constructed by Drinfeld. Using our results, we describe the stable fiber at p of certain Shimura curves.
@article{AIF_1990__40_1_69_0, author = {Teitelbaum, Jeremy}, title = {Geometry of an \'etale covering of the $p$-adic upper half plane}, journal = {Annales de l'Institut Fourier}, volume = {40}, year = {1990}, pages = {69-78}, doi = {10.5802/aif.1203}, mrnumber = {91i:11066}, zbl = {0687.14019}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1990__40_1_69_0} }
Teitelbaum, Jeremy. Geometry of an étale covering of the $p$-adic upper half plane. Annales de l'Institut Fourier, Tome 40 (1990) pp. 69-78. doi : 10.5802/aif.1203. http://gdmltest.u-ga.fr/item/AIF_1990__40_1_69_0/
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