JournalsjemsVol. 5 , No. 1DOI 10.1007/s10097-002-0045-x

Algebraic loop groups and moduli spaces of bundles

  • Gerd Faltings

    Max-Planck-Institut für Mathematik, Bonn, Germany
Algebraic loop groups and moduli spaces of bundles cover

Abstract

We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.