2 citations · 5 across the 7 of their papers we have counts for
7 papers
Igusa Stacks and the Cohomology of Shimura Varieties II
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We construct Igusa stacks for all Shimura varieties of abelian type and derive consequences for the cohomology of these Shimura varieties. As an application, we prove that the Farg…
Igusa Stacks and the Cohomology of Shimura Varieties
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We construct functorial Igusa stacks for all Hodge-type Shimura varieties, proving a conjecture of Scholze and extending earlier results of the fourth-named author for PEL-type Shi…
On a conjecture of Pappas and Rapoport
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We prove a conjecture of Pappas and Rapoport about the existence of ''canonical'' integral models of Shimura varieties of Hodge type with quasi-parahoric level structure at a prime…
Canonical Integral Models of Shimura Varieties of Abelian Type
Patrick Daniels, Alex Youcis
We prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when by showing that the Kisin-Pappas-Zhou integral mode…
Canonical integral models for Shimura varieties of toral type
Patrick Daniels
We prove the Pappas-Rapoport conjecture on the existence of canonical integral models of Shimura varieties with parahoric level structure in the case where the Shimura variety is d…
-displays of Hodge type and formal -divisible groups
Patrick Daniels
Let be a reductive group scheme over the -adic integers, and let be a minuscule cocharacter for . In the Hodge-type case, we construct a functor from nilpotent $(G,μ)…
A Tannakian framework for -displays and Rapoport-Zink spaces
Patrick Daniels
We develop a Tannakian framework for group-theoretic analogs of displays, originally introduced by Bültel and Pappas, and further studied by Lau. We use this framework to define Ra…