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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…
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…
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…
Compactification of Level Maps of Moduli Spaces of Drinfeld Shtukas
Patrick Bieker
We define Drinfeld level structures for Drinfeld shtukas of any rank and show that their moduli spaces are regular and admit finite flat level maps. In particular, the moduli space…