Discrete groups, Mumford curves and Theta functions

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.

Curves and their fundamental groups

Gerd Faltings (1997-1998)

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Barry Mazur (1977)

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On the Hurwitz scheme and its monodromy

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