English

Equivariant geometry of the Segre cubic and the Burkhardt quartic

Algebraic Geometry 2023-11-02 v2

Abstract

We study linearizability and stable linearizability of actions of finite groups on the Segre cubic and Burkhardt quartic, using techniques from group cohomology, birational rigidity, and the Burnside formalism.

Keywords

Cite

@article{arxiv.2308.15271,
  title  = {Equivariant geometry of the Segre cubic and the Burkhardt quartic},
  author = {Ivan Cheltsov and Yuri Tschinkel and Zhijia Zhang},
  journal= {arXiv preprint arXiv:2308.15271},
  year   = {2023}
}

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38 pages