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Conjugacy classes of linear actions in the plane Cremona group

Algebraic Geometry 2025-08-14 v1

Abstract

We classify regular generically free actions of finite groups on the projective plane, up to conjugation in the Cremona group.

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Cite

@article{arxiv.2508.09929,
  title  = {Conjugacy classes of linear actions in the plane Cremona group},
  author = {Ivan Cheltsov and Yuri Tschinkel and Zhijia Zhang},
  journal= {arXiv preprint arXiv:2508.09929},
  year   = {2025}
}

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32 pages