3 papers
math.NT2026
Canonical extensions of -adic shtukas on toroidal compactifications of Shimura varieties
Shengkai Mao, Peihang Wu
We construct canonical extensions of -adic shtukas on integral models of toroidal compactifications of abelian-type Shimura varieties with quasi-parahoric levels at any prime nu…
math.NT2025
Compactifications of subschemes of integral models of Hodge-type Shimura Varieties with Parahoric level structures
Shengkai Mao
We prove that central leaves, Igusa varieties, Newton strata, Kottwitz-Rapoport Strata, Ekedahl-Kottwitz-Oort-Rapoport strata on the special fiber of a Kisin-Pappas integral model…
math.NT2025
Boundary structures of integral models of Hodge-type Shimura Varieties
Shengkai Mao
We compute the level groups associated with mixed Shimura varieties that appear at the boundaries of compactifications of Shimura varieties and show that the boundaries of minimal…