Equivariant geometry of the Segre cubic and the Burkhardt quartic

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.

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Publication Details

Journal
Selecta Mathematica
Published
2024-12-13
DOI
https://doi.org/10.1007/s00029-024-01001-w
Citations
4
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
5.08

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article

Equivariant geometry of the Segre cubic and the Burkhardt quartic

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
4 citations
Selecta Mathematica
Advanced Topics in Algebra
5.08
article

Equivariant geometry of the Segre cubic and the Burkhardt quartic

Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang
article en
4 citations

Abstract

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.

Selecta MathematicaVol. 31(1)
Courant Institute of Mathematical Sciences (US), Simons Foundation (US), University of Edinburgh (GB)
National Science Foundation, Leverhulme Trust
Openalex Percentile: Top 4%
Advanced Topics in Algebra
5.08
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