A PEL-type Igusa Stack and the -adic Geometry of Shimura Varieties
M Zhang - arXiv preprint arXiv:2309.05152, 2023 - arxiv.org
Let $(G, X) $ be a PEL-Shimura datum of type AC in Kottwitz's classification. Assume $ G_
{\mathbf {Q} _p} $ is unramified. We show that the good reduction locus of the infinite $ p …
{\mathbf {Q} _p} $ is unramified. We show that the good reduction locus of the infinite $ p …
Harder-Narasimhan strata and -adic period domains
X Shen - arXiv preprint arXiv:1909.02230, 2019 - arxiv.org
We revisit the Harder-Narasimhan stratification on a minuscule $ p $-adic flag variety, by the
theory of modifications of $ G $-bundles on the Fargues-Fontaine curve. We compare the …
theory of modifications of $ G $-bundles on the Fargues-Fontaine curve. We compare the …
p-adic shtukas and the theory of global and local Shimura varieties
G Pappas, M Rapoport - arXiv preprint arXiv:2106.08270, 2021 - arxiv.org
arXiv:2106.08270v5 [math.NT] 28 Apr 2022 Page 1 arXiv:2106.08270v5 [math.NT] 28 Apr
2022 p-ADIC SHTUKAS AND THE THEORY OF GLOBAL AND LOCAL SHIMURA VARIETIES …
2022 p-ADIC SHTUKAS AND THE THEORY OF GLOBAL AND LOCAL SHIMURA VARIETIES …
On the cohomology of certain PEL-type Shimura varieties
E Mantovan - 2005 - projecteuclid.org
In this article we study the local geometry at a prime p of PEL-type Shimura varieties for
which there is a hyperspecial level subgroup. We consider the Newton polygon stratification …
which there is a hyperspecial level subgroup. We consider the Newton polygon stratification …
EKOR strata for Shimura varieties with parahoric level structure
X Shen, CF Yu, C Zhang - Duke Mathematical Journal, 2021 - projecteuclid.org
We study the geometry of reduction modulo p of the Kisin–Pappas integral models for
certain Shimura varieties of abelian type with parahoric level structure. We give some direct …
certain Shimura varieties of abelian type with parahoric level structure. We give some direct …
Harder-Narasimhan strata and 𝑝-adic period domains
X Shen - Transactions of the American Mathematical Society, 2023 - ams.org
We revisit the Harder-Narasimhan stratification on a minuscule $ p $-adic flag variety, by the
theory of modifications of $ G $-bundles on the Fargues-Fontaine curve. We compare the …
theory of modifications of $ G $-bundles on the Fargues-Fontaine curve. We compare the …
Mod isogeny classes on Shimura varieties with parahoric level structure
R Zhou - 2020 - projecteuclid.org
We study the special fiber of the integral model for Shimura varieties of Hodge type with
parahoric level structure recently constructed by Kisin and Pappas. We show that when the …
parahoric level structure recently constructed by Kisin and Pappas. We show that when the …
Local Models For The Moduli Stacks of Global -Shtukas
In this article we develop the theory of local models for the moduli stacks of global $ G $-
shtukas, the function field analogs for Shimura varieties. Here $ G $ is a smooth affine group …
shtukas, the function field analogs for Shimura varieties. Here $ G $ is a smooth affine group …
The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties
U Görtz, TJ Haines - 2007 - degruyter.com
We study the Jordan-Hölder series for nearby cycles on certain Shimura varieties and
Rapoport-Zink local models, and on finite-dimensional pieces of Beilinson's deformation of …
Rapoport-Zink local models, and on finite-dimensional pieces of Beilinson's deformation of …
Toroidal compactifications of integral models of Shimura varieties of Hodge type
KM Pera - arXiv preprint arXiv:1211.1731, 2012 - arxiv.org
We construct projective toroidal compactifications for integral models of Shimura varieties of
Hodge type. We also construct integral models of the minimal (Satake-Baily-Borel) …
Hodge type. We also construct integral models of the minimal (Satake-Baily-Borel) …