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- W2962869240 abstract "This work settles the Eichler-Shimura congruence relation of Blasius and Rogawski for certain 5-dimensional Hodge-type Shimura varieties, that were not tractable by previously known methods. In a more general context we introduce a hypothesis called (NVC) on the behavior of Hecke correspondences, and show that it implies the congruence relation. A major ingredient in the proof of this result is a theorem of R.Noot on CM-lifts of ordinary points in characteristic p, along with an analysis of the mod p-reductions of various Hecke translates of that CM-lift. Finally we prove this (NVC)-hypothesis for our particular Shimura 5-folds, and in doing so we obtain an unconditional result for the congruence relation of these non-PEL examples." @default.
- W2962869240 created "2019-07-30" @default.
- W2962869240 creator A5084950590 @default.
- W2962869240 date "2002-01-04" @default.
- W2962869240 modified "2023-09-26" @default.
- W2962869240 title "The congruence relation in the non-PEL case" @default.
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- W2962869240 doi "https://doi.org/10.1515/crll.2002.020" @default.
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