Abstract
Abstract
We generalize the works of Pappas–Rapoport–Zhu on twisted affine Grassmannians to the wildly ramified case under mild assumptions. This rests on a construction of certain smooth affine
$\mathbb {Z}[t]$
-groups with connected fibers of parahoric type, motivated by previous work of Tits. The resulting
$\mathbb {F}_p(t)$
-groups are pseudo-reductive and sometimes non-standard in the sense of Conrad–Gabber–Prasad, and their
$\mathbb {F}_p [\hspace {-0,5mm}[ {t} ]\hspace {-0,5mm}] $
-models are parahoric in a generalized sense. We study their affine Grassmannians, proving normality of Schubert varieties and Zhu’s coherence theorem.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Cited by
1 articles.
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