Geodesic
Algebraic loop groups and moduli spaces of bundles
Journal of the European Mathematical Society, Tome 5 (2003) no. 1, pp. 41-68

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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.
DOI : 10.1007/s10097-002-0045-x
Classification : 14-XX, 00-XX
Keywords: 
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     author = {Gerd Faltings},
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Gerd Faltings. Algebraic loop groups and moduli spaces of bundles. Journal of the European Mathematical Society, Tome 5 (2003) no. 1, pp. 41-68. doi: 10.1007/s10097-002-0045-x

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