The Picard group of the moduli of G-bundles on a curve |
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| Authors: | Arnaud Beauville Yves Laszio Christoph Sorger |
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| Institution: | (1) DMI – École Normale Supérieure, (URA 762 du CNRS), 45 rue d'Ulm, F-75230 Paris Cedex 05, France;(2) Institut de Mathématiques de Jussieu, (UMR 9994 du CNRS), Univ. Paris 7 –, Case Postale 7012, 2 Place Jussieu, F-75251 Paris Cedex 05, France |
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| 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 G2 coarse moduli space and the moduli stack). |
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| Keywords: | Principal bundles moduli spaces determinant bundle |
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