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arXiv · 1005.5619

Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4)

Tetsushi Ito·Yoichi Mieda
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Abstract

In this paper, we study the l-adic cohomology of the Rapoport-Zink tower for GSp(4). We prove that the smooth representation of GSp_4(Q_p) obtained as the i-th compactly supported l-adic cohomology of the Rapoport-Zink tower has no quasi-cuspidal subquotient unless i=2,3,4. Our proof is purely local and does not require global automorphic methods.

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BibTeXRIS

Tetsushi Ito, Yoichi Mieda. 2010-11-08. Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4). https://arxiv.org/abs/1005.5619

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