Uniformization of G-bundles

作者：Heinloth Jochen^*

来源：Mathematische Annalen, 2010, 347(3): 499-528.

DOI：10.1007/s00208-009-0443-4

We show some of the conjectures of Pappas and Rapoport concerning the moduli stack Bun G of G-torsors on a curve C, where G is a semisimple Bruhat-Tits group scheme on C. In particular we prove the analog of the uniformization theorem of Drinfeld-Simpson in this setting. Furthermore we apply this to compute the connected components of these moduli stacks and to calculate the Picard group of Bun G in case G is simply connected.

• 出版日期2010-7