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math.AG2026
Perfectoidness of Proper Shimura Varieties With Limpid Integral Models
Ali Partofard
We prove that any proper Shimura variety admitting a limpid integral model in the sense of Madapusi Pera becomes a perfectoid space at infinite level at . Our method provides a…
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 -…