RT Book, Section T1 Rationality of the moduli space of stable pairs over a complex curve A1 Biswas, Indranil A1 Logares Jiménez, Marina Lucía A1 Muñoz Velázquez, Vicente A2 Pardalos, Panos M. A2 Georgiev, Pando G. A2 Srivastava, Hari M. AB 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. PB Springer SN 978-1-4614-3497-9 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/45434 UL https://hdl.handle.net/20.500.14352/45434 LA eng NO Biswas, 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. NO Dedicated to the 60th Anniversary of Themistocles M. Rassias DS Docta Complutense RD 22 ago 2024