Abel-Jacobi map for Mumford curves analytically

This is done in Manin and Drinfeld's "Periods of p-adic Schottky groups." Journal für die reine und angewandte Mathematik 0262_0263 (1973): 239-247. You will also find it in Gerritzen and van der Put's book on Mumford curves.


You can also find an interpretation using integrals, this time multiplicative, and mesures, in the preprint "The Abel Jacobi map for Mumford Curves via Integration": https://arxiv.org/abs/1609.09285 which generalizes the construction given by Darmon and Longhi in the local case.

Tags:

Abelian Varieties

Algebraic Curves

Jacobians

Berkovich Geometry

Rigid Analytic Geometry

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