Uniformization of G-bundles
| Authors | |
|---|---|
| Publication date | 2010 |
| Journal | Mathematische Annalen |
| Volume | Issue number | 347 | 3 |
| Pages (from-to) | 499-528 |
| Organisations |
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| Abstract | 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. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s00208-009-0443-4 |
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