On the coherence conjecture of Pappas and Rapoport

• 成果类型: Article
• 署名作者: Zhu, Xinwen
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.1.1
• 发表日期: 2014
• 页码: 1-85
• 关键词: affine demazure modules; local models; shimura varieties; loop-groups; REPRESENTATIONS; flatness; sheaves; SPACES

摘要

We prove the (generalized) coherence conjecture proposed by Pappas and Rapport. As a corollary, one of their theorems, which describes the geometry of the special fibers of the local models for ramifield unitary groups, (in particular, certain line bundles and l-adic sheaves) of the global Schubert varieties, which are the equal characteristic counterparts of the local models.