English

Fixed points under pinning-preserving automorphisms of reductive group schemes

Algebraic Geometry 2022-12-21 v1 Representation Theory

Abstract

In this paper we determine the scheme-theoretic fixed points of pinned reductive group schemes acted upon by a group of pinning-preserving automorphisms. The results are used in a companion paper to establish a ramified geometric Satake equivalence with integral or modular coefficients.

Keywords

Cite

@article{arxiv.2212.10182,
  title  = {Fixed points under pinning-preserving automorphisms of reductive group schemes},
  author = {Pramod N. Achar and João Lourenço and Timo Richarz and Simon Riche},
  journal= {arXiv preprint arXiv:2212.10182},
  year   = {2022}
}

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