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oai:docta.ucm.es:20.500.14352/454342024-07-18T15:45:53Zcom_20.500.14352_14col_20.500.14352_21

Rationality of the moduli space of stable pairs over a complex curve Biswas, Indranil Logares Jiménez, Marina Lucía Muñoz Velázquez, Vicente Pardalos, Panos M. Georgiev, Pando G. Srivastava, Hari M. 512.7 Moduli of pairs Vortex equation Rationality Stable rationality Geometria algebraica 1201.01 Geometría Algebraica Dedicated to the 60th Anniversary of Themistocles M. Rassias 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T05:45:11Z 2023-06-20T05:45:11Z 2012 book part https://hdl.handle.net/20.500.14352/45434 XXXX-XXXX 10.1007/978-1-4614-3498-6_5 eng Springer Optimization and Its Applications 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. open access application/pdf Springer