Equations defining the periods of totally degenerate curves |
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Authors: | L Gerritzen |
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Institution: | 1. Fakult?t und Institut für Mathematik, Ruhr-Universit?t Bochum, 4630 Bochum 1, Postfach, 102148, Gebaude NA 2/33, Germany
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Abstract: | Mumford has studied the generalized Jacobian variety of a singular, irreducible curve in section 5 of his book (1984). It
is determined by a period matrix which is a symmetric matrix whose diagonal is zero. The problem to determine systems of equations
for the period matrices of totally degenerate curves is the analogue of the Schottky problem. An essentially complete solution
is given. |
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Keywords: | |
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