Le théorème de Schottky-Jung, qui a pour conséquence la relation de Schottky pour les fonctions theta, est prouvé pour des courbes de Mumford, c’est-à-dire, des courbes définies sur un corps non-archimédien qui sont paramétrisées par un groupe de Schottky.
The Schottky-Jung proportionality theorem, from which the Schottky relation for theta functions follows, is proved for Mumford curves, i.e. curves defined over a non-archimedean valued field which are parameterized by a Schottky group.
@article{AIF_1989__39_1_1_0,
author = {Steen, Guido Van},
title = {The Schottky-Jung theorem for Mumford curves},
journal = {Annales de l'Institut Fourier},
volume = {39},
year = {1989},
pages = {1-15},
doi = {10.5802/aif.1155},
mrnumber = {90i:14023},
zbl = {0658.14015},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1989__39_1_1_0}
}
Steen, Guido Van. The Schottky-Jung theorem for Mumford curves. Annales de l'Institut Fourier, Tome 39 (1989) pp. 1-15. doi : 10.5802/aif.1155. http://gdmltest.u-ga.fr/item/AIF_1989__39_1_1_0/
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