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arxiv: 1401.5135 · v1 · pith:7ZZVUEFVnew · submitted 2014-01-21 · 🧮 math.NT · math.AG· math.RT

Zelevinsky involution and l-adic cohomology of the Rapoport-Zink tower

classification 🧮 math.NT math.AGmath.RT
keywords rapoport-zinktowercohomologyinvolutionl-adiczelevinskyappearsdrinfeld
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In this paper, we investigate how the Zelevinsky involution appears in the l-adic cohomology of the Rapoport-Zink tower. We generalize the result of Fargues on the Drinfeld tower to the Rapoport-Zink towers for symplectic similitude groups.

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