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math.AG2020
Connectedness of Kisin varieties associated to absolutely irreducible Galois representations
Miaofen Chen, Sian Nie
We consider the Kisin variety associated to a -dimensional absolutely irreducible mod Galois representation of a -adic field and a cocharacter . Kisin conj…
math.AG2020
Basic loci of Coxeter type with arbitrary parahoric level
Ulrich Görtz, Xuhua He, Sian Nie
Motivated by the desire to understand the geometry of the basic loci in the reduction of Shimura varieties, we study their "group-theoretic models" -- generalized affine Deligne-Lu…