Factorisation of generalised theta functions. I.
M.S. Narashimhan, T.R. Ramadas (1993)
Inventiones mathematicae
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M.S. Narashimhan, T.R. Ramadas (1993)
Inventiones mathematicae
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Jeffrey, Lisa C., Kirwan, Frances C. (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Arthur E. Fischer, Anthony J. Tromba (1984)
Mathematische Annalen
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Georgios Daskalopoulos, R. Wentworth (1993)
Mathematische Annalen
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Mika Seppälä (1990)
Compositio Mathematica
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Pol Vanhaecke (2005)
Annales de l’institut Fourier
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We use the methods that were developed by Adler and van Moerbeke to determine explicit equations for a certain moduli space, that was studied by Narasimhan and Ramanan. Stated briefly it is, for a fixed non-hyperelliptic Riemann surface of genus , the moduli space of semi-stable rank two bundles with trivial determinant on . They showed that it can be realized as a projective variety, more precisely as a quartic hypersurface of , whose singular locus is the Kummer variety of ....
Costa, A.F., Martínez, E. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Curtis McMullen (2013)
Journal of the European Mathematical Society
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We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
Edoardo Ballico (1994)
Forum mathematicum
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O. Richter, C. Klein (1997)
Banach Center Publications
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1. Introduction. It is well known that methods of algebraic geometry and, in particular, Riemann surface techniques are well suited for the solution of nonlinear integrable equations. For instance, for nonlinear evolution equations, so called 'finite gap' solutions have been found by the help of these methods. In 1989 Korotkin [9] succeeded in applying these techniques to the Ernst equation, which is equivalent to Einstein's vacuum equation for axisymmetric stationary fields. But, the...