On linearization problems in the plane Cremona group
Arman Sarikyan
TL;DR
This paper investigates finite subgroups of the plane Cremona group that are not linearizable but may become so when stabilized, exploring the conditions and properties related to their linearization.
Contribution
It introduces the study of non-linearizable finite subgroups of the plane Cremona group and examines their potential for stable linearization.
Findings
Identification of non-linearizable finite subgroups
Analysis of conditions for stable linearization
Insights into the structure of the Cremona group
Abstract
We study finite non-linearizable subgroups of the plane Cremona group which potentially could be stably linearizable.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Algebraic Geometry and Number Theory