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arXiv · 1312.4784

On irreducible components of Rapoport-Zink spaces

Yoichi Mieda
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Abstract

Under a mild condition, we prove that the action of the group of self-quasi-isogenies on the set of irreducible components of a Rapoport-Zink space has finite orbits. Our method allows both ramified and non-basic cases. As a consequence, we obtain some finiteness results on the representation obtained from the l-adic cohomology of a Rapoport-Zink tower.

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Yoichi Mieda. 2018-04-17. On irreducible components of Rapoport-Zink spaces. https://arxiv.org/abs/1312.4784

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