Affiliation:
1. Graduate School of Mathematical Sciences, The University of Tokyo, Meguro-ku, Tokyo, Japan
Abstract
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 nonbasic cases. As a consequence, we obtain some finiteness results on the representation obtained from the ℓ-adic cohomology of a Rapoport–Zink tower.
Funder
Japan Society for the Promotion of Science
Publisher
Oxford University Press (OUP)
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