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Rationality of the moduli space of stable pairs over a complex curve.

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Biswas, Indranil and Logares, M. and Muñoz, Vicente (2012) Rationality of the moduli space of stable pairs over a complex curve. In Nonlinear Analysis:Stability, Approximation, and Inequalities. Springer Optimization and Its Applications (68). Springer, Springer New York, pp. 65-77. ISBN 978-1-4614-3497-9

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Official URL: http://link.springer.com/chapter/10.1007%2F978-1-4614-3498-6_5




Abstract

Let X be a smooth complex projective curve of genus g≥2. A pair on X is formed by a vector bundle E→X and a global non-zero section ϕ∈H 0(E). There is a concept of stability for pairs depending on a real parameter τ, giving rise to moduli spaces of τ-stable pairs of rank r and fixed determinant Λ. In this paper, we prove that the moduli spaces are in many cases rational.


Item Type:Book Section
Additional Information:

Dedicated to the 60th Anniversary of Themistocles M. Rassias

Uncontrolled Keywords:Moduli of pairs; Vortex equation; Rationality; Stable rationality
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:20839
Deposited On:15 Apr 2013 14:20
Last Modified:12 Dec 2018 15:12

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