Equivariant birational geometry of linear actions
Yuri Tschinkel, Kaiqi Yang, Zhijia Zhang
TL;DR
This paper investigates the classification of linear actions of finite groups on algebraic varieties in small dimensions, focusing on their properties under equivariant birational transformations.
Contribution
It provides a systematic analysis of finite group actions in small dimensions up to equivariant birational equivalence, advancing understanding of their geometric structures.
Findings
Classification results for finite group actions in small dimensions
Identification of invariants under equivariant birational transformations
New examples illustrating equivariant birational equivalence classes
Abstract
We study linear actions of finite groups in small dimensions, up to equivariant birationality.
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Taxonomy
TopicsAdvanced Topics in Algebra · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology