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.
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.
@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}, pages = {1--15}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {39}, number = {1}, year = {1989}, doi = {10.5802/aif.1155}, zbl = {0658.14015}, mrnumber = {90i:14023}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1155/} }
TY - JOUR AU - Steen, Guido Van TI - The Schottky-Jung theorem for Mumford curves JO - Annales de l'Institut Fourier PY - 1989 SP - 1 EP - 15 VL - 39 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1155/ DO - 10.5802/aif.1155 LA - en ID - AIF_1989__39_1_1_0 ER -
Steen, Guido Van. The Schottky-Jung theorem for Mumford curves. Annales de l'Institut Fourier, Volume 39 (1989) no. 1, pp. 1-15. doi : 10.5802/aif.1155. https://aif.centre-mersenne.org/articles/10.5802/aif.1155/
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