Distributions and normality theorems

João Lourenço

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arXiv · 2312.17121

Distributions and normality theorems

João Lourenço

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Abstract

We derive a Serre presentation of distribution algebras of loop groups in characteristic $p$ and apply it to give a new proof of the normality of Schubert varieties inside parahoric affine Grassmannians, for all connected reductive groups whose fundamental group is $p$-torsion free.

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João Lourenço. 2023-12-28. Distributions and normality theorems. https://arxiv.org/abs/2312.17121

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