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

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

1996-08-02

arxiv.org/abs/alg-geom/9608002v1

Mathematics

Algebraic Geometry

36 pages, Plain TeX (xypic useful but not compulsory)

Scientific paper

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).

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