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On the coherence conjecture of Pappas and Rapoport

Zhu, Xinwen (2014) On the coherence conjecture of Pappas and Rapoport. Annals of Mathematics, 180 (1). pp. 1-85. ISSN 0003-486X. https://resolver.caltech.edu/CaltechAUTHORS:20140919-152324725

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.4007/annals.2014.180.1.1DOIArticle
http://annals.math.princeton.edu/2014/180-1/p01PublisherArticle
http://arxiv.org/abs/1012.5979arXivDiscussion Paper
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.
Funders:
Funding AgencyGrant Number
NSFDMS-1001280
NSFDMS-1313894
Subject Keywords:affine flag variety, local model, nearby cycles, Schubert variety
Issue or Number:1
Record Number:CaltechAUTHORS:20140919-152324725
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140919-152324725
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49867
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:20 Sep 2014 03:01
Last Modified:03 Oct 2019 07:17

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