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Reduction of Shimura varieties at parahoric levels

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Abstract

 The generalization of a conjecture of Langlands and Rapoport concerning the reduction of Shimura varieties given in an earlier paper of the author is extended to an even more general case. It is then checked in the case of a quaternionic Shimura variety. Some additional geometric information which will be used in the computation of semi-simple local L–functions is obtained in this case.

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Received: 19 July 2000

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Reimann, H. Reduction of Shimura varieties at parahoric levels. Manuscripta Math. 107, 355–390 (2002). https://doi.org/10.1007/s002290200244

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  • DOI: https://doi.org/10.1007/s002290200244

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