Finite groups of bimeromorphic selfmaps of non-uniruled K\"ahler threefolds

TL;DR

This paper proves the Jordan property for groups of bimeromorphic selfmaps on certain three-dimensional compact K"ahler varieties, advancing understanding of their symmetry groups in complex geometry.

Contribution

It establishes the Jordan property for these groups on non-uniruled K"ahler threefolds with specific geometric conditions, a novel result in complex geometry.

Findings

Jordan property holds for these groups

Results apply to varieties with non-negative Kodaira dimension

Advances understanding of automorphism groups in complex geometry

Abstract

We prove the Jordan property for groups of bimeromorphic selfmaps of three-dimensional compact K\"ahler varieties of non-negative Kodaira dimension and positive irregularity.