3 papers
math.NT2026
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…
math.NT2026
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…
math.NT2026
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…