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Beschreibung:
We describe the construction of the Jacobian of a Mumford curve of genus g as a rigid analytic quotient of an affine g-dimensional torus by a lattice M of full rank g. We define two canonical principal polarizations of M, namely Drinfeld´s and the Theta polarization. Our main result states that these two polarizations actually coincide. This can be viewed as a reformulation of Riemann´s Vanishing Theorem.