3 papers
math.AG2025
Igusa Stack for some exceptional Shimura Varieties
Ali Partofard
We study the integral models of meta-unitary Shimura varieties through the lens of Scholze's fiber product conjecture. Reformulating Bultel's original construction in terms of modu…
math.AG2025
Embeddings of Certain Exceptional Shimura Varieties into Siegel Modular Varieties
Mohammad Hadi Hedayatzadeh, Ali Partofard
We define a class of local Shimura varieties that contains some local Shimura varieties for exceptional groups, and for this class, we construct a functor from -…
math.NT2024
Deformations of Prismatic Higher -Displays over Quasi-Syntomic Rings
Mohammad Hadi Hedayatzadeh, Ali Partofard
We prove a deformation theorem for prismatic higher -displays over quasi-syntomic rings. As an application, we extend the classification of -divisible groups via prismati…