Equivariant geometry of singular cubic threefolds

Ivan Cheltsov; Yuri Tschinkel; Zhijia Zhang

doi:10.1017/fms.2024.148

Equivariant geometry of singular cubic threefolds

Ivan Cheltsov^*, Yuri Tschinkel, Zhijia Zhang

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.

Original language	English
Article number	e9
Journal	Forum of Mathematics, Sigma
Volume	13
DOIs	https://doi.org/10.1017/fms.2024.148
Publication status	Published - 24 Jan 2025

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10.1017/fms.2024.148Licence: Creative Commons: Attribution (CC-BY)

https://arxiv.org/abs/2401.10974

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title = "Equivariant geometry of singular cubic threefolds",

abstract = "We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.",

author = "Ivan Cheltsov and Yuri Tschinkel and Zhijia Zhang",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2025. Published by Cambridge University Press.",

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language = "English",

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AU - Cheltsov, Ivan

AU - Tschinkel, Yuri

AU - Zhang, Zhijia

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N2 - We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.

AB - We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.

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DO - 10.1017/fms.2024.148

M3 - Article

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SN - 2050-5094

VL - 13

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

M1 - e9

ER -

Equivariant geometry of singular cubic threefolds

Abstract

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