Factorisation of generalised theta functions. I.
M.S. Narashimhan, T.R. Ramadas (1993)
Inventiones mathematicae
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Displaying similar documents to “On the generalized theta divisor.”
Factorisation of generalised theta functions. I.
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface.
Jeffrey, Lisa C., Kirwan, Frances C. (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
Arthur E. Fischer, Anthony J. Tromba (1984)
Mathematische Annalen
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Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I.
Georgios Daskalopoulos, R. Wentworth (1993)
Mathematische Annalen
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Real algebraic curves in the moduli space of complex curves
Mika Seppälä (1990)
Compositio Mathematica
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Integrable systems and moduli spaces of rank two vector bundles on a non-hyperelliptic genus 3 curve
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 ....
Parametrization of the moduli space of hyperelliptic and symmetric Riemann surfaces.
Costa, A.F., Martínez, E. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Navigating moduli space with complex twists
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.
On the components of moduli of simple sheaves on a surface.
Edoardo Ballico (1994)
Forum mathematicum
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Algebro-geometric approach to the Ernst equation I. Mathematical Preliminaries
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...