Year: 2025
Type: article
Abstract: We prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>2$ by showing that the Kisin–Pappas–Zhou integral models of Shimura varieties of abelian type are canonical. In particular, this shows that these models are independent of the choices made during their construction, and that they satisfy functoriality with respect to morphisms of Shimura data.
Source: Forum of Mathematics Sigma
DOI: 10.1017/fms.2025.27
Authors: Patrick Daniels, Alexander Youcis
Institutions: Skidmore College, National University of Singapore
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,650
OpenAlex ID: W4409209075