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

TL;DR

This paper classifies uniruled compact K"ahler threefolds with complex symmetry groups lacking the Jordan property, advancing understanding of their automorphism structures.

Contribution

It provides a classification of uniruled K"ahler threefolds based on the properties of their bimeromorphic selfmap groups, a novel insight in complex geometry.

Findings

Identification of uniruled K"ahler threefolds with non-Jordan symmetry groups

Characterization of the structure of these groups

New examples of complex threefolds with unusual automorphism properties

Abstract

We classify uniruled compact K\"ahler threefolds whose groups of bimeromorphic selfmaps do not have Jordan property.