4 papers
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…
Descending finite projective modules from a Novikov ring
Dongryul Kim
We prove a descent result for finite projective modules, motivated by a question in perfectoid geometry. Given a commutative ring , we formulate a descent problem for descending…
Uniqueness and functoriality of Igusa stacks
Dongryul Kim
We provide an axiomatic definition of an Igusa stack associated to an arbitrary Shimura datum. We then prove that Igusa stacks are unique and automatically functorial with respect…