%0 Book Section
%T Rationality of the moduli space of stable pairs over a complex curve
publisher Springer
%D 2012
%U 978-1-4614-3497-9
%@ https://hdl.handle.net/20.500.14352/45434
%X 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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