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math.AG2017
On the -ordinary locus of a Shimura variety
Xuhua He, Sian Nie
In this paper, we study the -ordinary locus of a Shimura variety with parahoric level structure. Under the axioms in \cite{HR}, we show that -ordinary locus is a union of som…
math.AG2017
Connected components of closed affine Deligne-Lusztig varieties
Ling Chen, Sian Nie
For split reductive algebraic groups, we determine the connected components of closed affine Deligne-Lusztig varieties of arbitrary parahoric level.