Published July 2014
| Published + Accepted Version
Journal Article
Open
On the coherence conjecture of Pappas and Rapoport
- Creators
- Zhu, Xinwen
Chicago
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Abstract
We prove the (generalized) coherence conjecture proposed by Pappas and Rapoport. As a corollary, one of their theorems, which describes the geometry of the special fibers of the local models for ramified unitary groups, holds unconditionally. Our proof is based on the study of the geometry (in particular, certain line bundles and ℓ-adic sheaves) of the global Schubert varieties, which are the equal characteristic counterparts of the local models.
Additional Information
Copyright © 2010 Annals of Mathematics. Received: 17 January 2011; Revised: 8 March 2013; Accepted: 24 April 2013. The author is grateful to D. Gaitsgory, G. Pappas, M. Rapoport, J.-K. Yu for useful discussions, and G. Pappas and M. Rapoport for reading an early draft of this paper. He is also extremely grateful to the referee for pointing out an enormous number of mistakes and typos in an early draft. The work of the author is supported by the NSF grant DMS-1001280/1313894.Attached Files
Published - annals-v180-n1-p01-p.pdf
Accepted Version - 1012.5979v3.pdf
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Additional details
- Eprint ID
- 49867
- Resolver ID
- CaltechAUTHORS:20140919-152324725
- NSF
- DMS-1001280
- NSF
- DMS-1313894
- Created
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2014-09-20Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field