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arXiv · 2103.07015

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

Tatiana Bandman·Yuri G. Zarhin
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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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Tatiana Bandman, Yuri G. Zarhin. 2021-03-12. Automorphism groups of $P^1$-bundles over a non-uniruled base. https://doi.org/10.4213/rm10093

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