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

Abstract

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)

References in corpus (1)

• Prym Varieties and the Moduli of Spin Bundles

Cited by in corpus (3)

• Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles
• Cox rings of moduli of quasi parabolic principal bundles and the K-Pieri rule
• On Moduli of G-bundles over Curves for exceptional G