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math.AG2025
Normality of Schubert varieties in affine Grassmannians II: The tamely ramified case
Patrick Bieker
We prove a criterion for the normality of Schubert varieties in twisted affine Grassmannians in terms of the order of the algebraic fundamental group of a certain Levi subgroup, in…
math.AG2025
Normality of Schubert varieties in affine Grassmannians
Patrick Bieker, Timo Richarz
We classify all normal Schubert varieties in the affine Grassmannian of a semisimple group over an arbitrary field with special attention to small positive characteristic. The proo…
math.AG2024
Integral models of moduli spaces of shtukas with deep Bruhat-Tits level structures
Patrick Bieker
We construct integral models for moduli spaces of shtukas with deep Bruhat-Tits level structures. We embed the moduli space of global shtukas for a deep Bruhat-Tits group scheme in…