Published 2011
| Published
Book Section - Chapter
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l-Adic Étale Cohomology of PEL Type Shimura Varieties with Non-Trivial Coefficients
- Creators
- Mantovan, Elena
- Other:
- Cojocaru, Alina Carmen
Chicago
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Abstract
Given a Shimura datum (G, h) of PEL type, let p be an odd prime at which G is unramified. In [13], we established a formula computing the l-adic cohomology of the associated Shimura varieties (regarded as a representation of the acidic points of G and of the local Weil group at p) in terms of that of their local models at p (the associated Rapoport-Zink spaces) and of the corresponding Igusa varieties. In this paper we extend those results (which are for cohomology with constant l-adic coefficients) to the general case of coefficients in a lisse étale sheaf attached to a finite dimensional l-adic representation of the group G.
Additional Information
© 2011 American Mathematical Society. Partially supported by the National Science Foundation under Grant DMS-0701310. I would like to thank R. Taylor, M. Harris, and S.W. Shin for their interest in my work and for stimulating discussions, and the referee for helpful comments and useful suggestions.Attached Files
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Additional details
- Eprint ID
- 23655
- Resolver ID
- CaltechAUTHORS:20110512-135514802
- NSF
- DMS-0701310
- Created
-
2011-06-09Created from EPrint's datestamp field
- Updated
-
2019-10-03Created from EPrint's last_modified field
- Series Name
- Fields Institute Communications
- Series Volume or Issue Number
- 60