Publication: Rationality of the moduli space of stable pairs over a complex curve.
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2012
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Springer
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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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Dedicated to the 60th Anniversary of Themistocles M. Rassias
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