Automorphism groups of $P^1$-bundles over a non-uniruled base

Abstract

In this survey we discuss holomorphic ${\mathbb{P}}^1$-bundles $p:X\to Y$ over a non-uniruled complex compact Kähler manifold $Y$, paying a special attention to the case when $Y$ is a complex torus. We discuss so called Jordan properties of the groups $Aut(X)$ and $Bim(X)$ of its biholomorphic and bimeromorphic automorphisms, respectively.

References in corpus (4)

• Diffeomorphism Groups of Compact 4-manifolds are not always Jordan
• Jordan property for automorphism groups of compact spaces in Fujiki's class $C$
• Automorphisms of surfaces over fields of positive characteristic
• Finite groups of bimeromorphic selfmaps of non-uniruled Kähler threefolds

Cited by in corpus (1)

• Finite group actions on abelian groups of finite Morley rank