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.
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Acknowledgements
We thank Norbert Hoffman for kindly pointing us to his work [11]. The second author was supported by (Spanish MICINN) research project MTM2007-67623 and i-MATH. The third author was partially supported by (Spanish MICINN) research project MTM2007-63582.
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Dedicated to Professor Themistocles M. Rassias on the occasion of his 60th birthday.
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Biswas, I., Logares, M., Muñoz, V. (2012). Rationality of the Moduli Space of Stable Pairs over a Complex Curve. In: Pardalos, P., Georgiev, P., Srivastava, H. (eds) Nonlinear Analysis. Springer Optimization and Its Applications, vol 68. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3498-6_5
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