Good and semi-stable reductions of Shimura varieties
Xuhua He,Georgios Pappas,Michael Rapoport +2 more
- Vol. 7, pp 497-571
TLDR
In this article, the authors study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type and determine all cases of good, resp. of semi-stable, reduction under tame ramification hypotheses.Abstract:
We study variants of the local models constructed by the second author and Zhu and consider corresponding integral models of Shimura varieties of abelian type. We determine all cases of good, resp. of semi-stable, reduction under tame ramification hypotheses.read more
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Local models for ramified unitary groups
TL;DR: In this paper, local models associated to certain Shimura varieties are studied and a resoultion of their singularities is presented, which is able to determine the alternating semisimple trace of the geometric Frobenius on the sheaf of nearby cycles.
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EKOR strata for Shimura varieties with parahoric level structure
Xu Shen,Chia-Fu Yu,Chao Zhang +2 more
TL;DR: In this paper, the geometry of reduction modulo $p$ of the Kisin-Pappas integral models for certain Shimura varieties of abelian type with parahoric level structure is studied.
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Normality and Cohen-Macaulayness of parahoric local models
Thomas J. Haines,Timo Richarz +1 more
TL;DR: In this paper, the singularities of integral models of Shimura varieties and moduli stacks of shtukas with parahoric level structure were studied, and it was shown that the entire local model is normal with reduced special fiber and, if p>2, it is also Cohen-Macaulay.
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On integral models of Shimura varieties
TL;DR: In this article, the authors show how to characterize integral models of Shimura varieties over places of the reflex field where the level subgroup is parahoric by formulating a definition of a "canonical" integral model.
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On Shimura varieties for unitary groups
TL;DR: In this paper, a class of Shimura varieties closely related to unitary groups which represent a moduli problem of abelian varieties with additional structure, and which admit interesting algebraic cycles is defined.
References
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Journal ArticleDOI
Representations of Coxeter Groups and Hecke Algebras.
David Kazhdan,George Lusztig +1 more
TL;DR: In this article, the problem of decomposing this space of functions into irreducible representations of a finite Chevalley group G(Fq) is equivalent to decomposing the regular representation o f ~ | | (12) of a Coxeter group.
Book
Lie groups and Lie algebras
TL;DR: Seligman as mentioned in this paper presents a rich and useful volume of material beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or "Tits systems".
Book
Kac-Moody Groups, their Flag Varieties and Representation Theory
TL;DR: In this article, Kac-Moody Lie Algebra Homology and Cohomology has been studied in the context of representation theory of kac-moody groups.
Journal ArticleDOI
On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups
TL;DR: In this article, the authors present a legal opinion on the use of commercial or impression systématiques in the context of the IHES agreement with the conditions générales d'utilisation.
Book
Period Spaces for p-divisible Groups
Michael Rapoport,Thomas Zink +1 more
TL;DR: In this paper, the relation of "p"-adic period domains to moduli space of arbitrary reductive groups is investigated, and nonarchimedean uniformization theorems for general Shimura varieties are established.