Biswas, IndranilLogares Jiménez, Marina LucíaMuñoz Velázquez, VicentePardalos, Panos M.Georgiev, Pando G.Srivastava, Hari M.2023-06-202023-06-202012Biswas, I., Logares Jiménez, M. L. & Muñoz Velázquez, V. «Rationality of the Moduli Space of Stable Pairs over a Complex Curve». Nonlinear Analysis, editado por Panos M. Pardalos et al., vol. 68, Springer New York, 2012, pp. 65-77. DOI.org (Crossref), https://doi.org/10.1007/978-1-4614-3498-6_5.978-1-4614-3497-910.1007/978-1-4614-3498-6_5https://hdl.handle.net/20.500.14352/45434Dedicated to the 60th Anniversary of Themistocles M. RassiasLet 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.engbook parthttps//doi.org/10.1007/978-1-4614-3498-6_5http://www.mat.ucm.es/~vmunozve/rationality.pdfhttp://link.springer.com/chapter/10.1007%2F978-1-4614-3498-6_5open access512.7Moduli of pairsVortex equationRationalityStable rationalityGeometria algebraica1201.01 Geometría Algebraica