Equivariant geometry of singular cubic threefolds, II
Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel, Zhijia Zhang
TL;DR
This paper investigates how finite groups act on singular cubic threefolds, focusing on whether these actions can be simplified to linear actions, especially in cases with nonnodal isolated singularities.
Contribution
It provides new insights into the linearizability of finite group actions on singular cubic threefolds with specific types of singularities.
Findings
Conditions for linearizability of group actions identified
Classification of actions on cubic threefolds with nonnodal singularities
Extension of previous results to singular cases
Abstract
We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra