Vanishing theorems for the mod p cohomology of some simple Shimura varieties-Reference-Cited by-同舟云学术

Vanishing theorems for the mod p cohomology of some simple Shimura varieties

Published:2020 Issue: Volume:8 Page:
ISSN:2050-5094
Container-title:Forum of Mathematics, Sigma
language:en
Short-container-title:Forum of Mathematics, Sigma

Author:

Koshikawa Teruhisa

Abstract

Abstract We show that the mod p cohomology of a simple Shimura variety treated in Harris-Taylor’s book vanishes outside a certain nontrivial range after localizing at any non-Eisenstein ideal of the Hecke algebra. In cases of low dimensions, we show the vanishing outside the middle degree under a mild additional assumption.

Publisher

Cambridge University Press (CUP)

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis

Reference11 articles.

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