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Automorphism groups of $P^1$-bundles over a non-uniruled base (2103.07015v6)

Published 12 Mar 2021 in math.CV and math.AG

Abstract: In this survey we discuss holomorphic $\mathbb{P}1$-bundles $p: X \to Y$ over a non-uniruled complex compact K\"ahler 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.

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