Algebraic loop groups and moduli spaces of bundles

Faltings, Gerd

doi:10.1007/s10097-002-0045-x

Journal of the European Mathematical Society

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Volume 5, Issue 1, 2003, pp. 41–68

DOI: 10.1007/s10097-002-0045-x

Algebraic loop groups and moduli spaces of bundles

Gerd Faltings (1)

(1) Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, BONN, GERMANY

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.

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