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

Beauville, Arnaud; Laszlo, Yves; Sorger, Christoph

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

Authors

Beauville, Arnaud

Laszlo, Yves

Sorger, Christoph

Description

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