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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Faltings Gerd: Algebraic loop groups and moduli spaces of bundles. J. Eur. Math. Soc. 5 (2003), 41-68. doi: 10.1007/s10097-002-0045-x