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• W2777771502 abstract "Moduli spaces of bounded local $G$-shtukas are a group-theoretic generalization of the function field analog of Rapoport and Zink's moduli spaces of $p$-divisible groups. In this article we generalize some very prominent concepts in the theory of Rapoport-Zink spaces to our setting. More precisely, we define period spaces, as well as the period map from a moduli space of bounded local $G$-shtukas to the corresponding period space, and we determine the image of the period map. Furthermore, we define a tower of coverings of the generic fiber of the moduli space which is equipped with a Hecke action and an action of a suitable automorphism group. Finally we consider the $ell$-adic cohomology of these towers." @default.
• W2777771502 created "2018-01-05" @default.
• W2777771502 creator A5006235119 @default.
• W2777771502 creator A5028684067 @default.
• W2777771502 date "2017-12-21" @default.
• W2777771502 modified "2023-09-27" @default.
• W2777771502 title "The generic fiber of moduli spaces of bounded local $G$-shtukas" @default.
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• W2777771502 hasPublicationYear "2017" @default.
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