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1 results

  • The Picard group of the moduli of $G$-bundles on a curve

  • ARNAUD BEAUVILLE, YVES LASZIO, CHRISTOPH SORGER
  • Journal:
    Compositio Mathematica / Volume 112 / Issue 2 / June 1998
    Published online by Cambridge University Press:
    04 December 2007, pp. 183-216
    Print publication:
    June 1998
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  • Let G be a complex semi-simple group, and X a compact Riemann surface. The moduli space of principal G-bundles on X, and in particular the holomorphic line bundles on this space and their global sections, play an important role in the recent applications of Conformal Field Theory to algebraic geometry. In this paper we determine the Picard group of this moduli space when G is of classical or G$_2$ type (we consider both the coarse moduli space and the moduli stack).