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Rationality of the Moduli Space of Stable Pairs over a Complex Curve

In: Nonlinear Analysis

Author

Listed:
  • Indranil Biswas

    (Tata Institute of Fundamental Research)

  • Marina Logares

    (Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM))

  • Vicente Muñoz

    (Universidad Complutense de Madrid)

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.

Suggested Citation

  • Indranil Biswas & Marina Logares & Vicente Muñoz, 2012. "Rationality of the Moduli Space of Stable Pairs over a Complex Curve," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 65-77, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_5
    DOI: 10.1007/978-1-4614-3498-6_5
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