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On the zeta functions of Shimura varieties and periods of Hilbert modular forms
On the zeta functions of Shimura varieties and periods of Hilbert modular formsopenaire
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On The Hecke Orbit Conjecture for PEL Type Shimura Varieties
, 2020The Hecke orbit conjecture plays an important role in understanding the geometric structure of Shimura varieties. First postulated by Chai and Oort in 1995, the Hecke orbit conjecture predicts that prime-to-p Hecke correspondences on mod p reductions of ...
L. Xiao
semanticscholar +1 more source
Modular Curves as Shimura Variety
2013Modular varieties classifying abelian varieties with a level structure, given endomorphism subring and polarization, by making the level structure finer and finer, give rise to a tower of varieties. This tower has a strikingly big automorphism group, which can be described by an adele group of an algebraic group.
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Honda–Tate theory for Shimura varieties
Duke Mathematical Journal, 2022Keerthi Madapusi Pera +2 more
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EKOR strata for Shimura varieties with parahoric level structure
Duke Mathematical Journal, 2021Chia-Fu Yu
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On the connected components of Shimura varieties for CM unitary groups in odd variables
Journal of Number Theory, 2023Yasuhiro Oki
exaly
Fano Shimura Varieties with Mostly Branched Cusps
Springer Proceedings in Mathematics and Statistics, 2023Yuji Odaka
exaly
On the generic part of the cohomology of compact unitary Shimura varieties
Annals of Mathematics, 2017Ana Caraiani, Peter Scholze
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