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arxiv: 0707.3173 · v4 · submitted 2007-07-21 · 🧮 math.NT · math.AG

Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport

classification 🧮 math.NT math.AG
keywords conjectureshimuravarietieslanglandsrapoportclassfieldsfinite
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We state an improved version of the conjecture of Langlands and Rapoport, and we prove the conjecture for a large class of Shimura varieties. In particular, we obtain the first proof of the (original) conjecture for Shimura varieties of PEL-type.

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