Linearization problem for finite subgroups of the plane Cremona group
Antoine Pinardin, Arman Sarikyan, and Egor Yasinsky
TL;DR
This paper provides a comprehensive solution to the linearization problem for finite subgroups within the plane Cremona group over algebraically closed fields of characteristic zero.
Contribution
It offers a complete classification and solution to the linearization problem for finite subgroups in the plane Cremona group, a longstanding open problem.
Findings
Complete classification of finite subgroups in the plane Cremona group.
Resolution of the linearization problem in characteristic zero.
New techniques for analyzing group actions on algebraic surfaces.
Abstract
We give a complete solution of the linearization problem in the plane Cremona group over an algebraically closed field of characteristic zero.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Mathematics and Applications · History and Theory of Mathematics