| Résume | Any torsor under a semisimple group on a smooth projective curve becomes trivial when one removes a point from the curve. Pappas and Rapoport conjectured that a similar result should hold for torsors under a semisimple Bruhat-Tits-group scheme on a curve. We give a prove of this conjecture and deduce some results on the modulistack of torsors, which have also been conjectured by Pappas and Rapoport. |
