Polarisierungen der Jacobi-Varietäten von Mumford-Kurven
Dissertation
Faculties
Fakultät für Mathematik und WirtschaftswissenschaftenAbstract
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.
Date created
2014
Subject headings
[GND]: Mumford-Kurve | Polarisierung | Torus[LCSH]: Jacobians | Vanishing theorems
[Free subject headings]: Jacobische | Riemannscher Verschwindungssatz
[DDC subject group]: DDC 510 / Mathematics
Metadata
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Please use this identifier to cite or link to this item: http://dx.doi.org/10.18725/OPARU-3267
Morozov, Alexander (2014): Polarisierungen der Jacobi-Varietäten von Mumford-Kurven. Open Access Repositorium der Universität Ulm und Technischen Hochschule Ulm. Dissertation. http://dx.doi.org/10.18725/OPARU-3267
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