The conjugacy classes of finite nonsolvable subgroups in the plane Cremona group

TL;DR

This paper provides a detailed geometric classification of conjugacy classes of nonsolvable subgroups within the plane Cremona group, enhancing understanding of their structure and parametrization.

Contribution

It offers a refined geometric description of the algebraic varieties that parametrize these conjugacy classes, advancing the algebraic and geometric understanding of the Cremona group.

Findings

Classification of conjugacy classes of nonsolvable subgroups

Description of algebraic varieties parametrizing these classes

Enhanced geometric understanding of the Cremona group

Abstract

The aim of this paper is to give a finer geometric description of the algebraic varieties parametrizing conjugacy classes of nonsolvable subgroups in the plane Cremona group.