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arXiv · 2209.12032

Jordan property for groups of bimeromorphic self-maps of complex manifolds with large Kodaira dimension

Konstantin Loginov
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Abstract

We prove that the image of the pluricanonical representation of a group of bimeromorphic automorphisms of a complex manifold has bounded finite subgroups. As a consequence, we show that the group of bimeromorphic automorphisms of an $n$-dimensional complex manifold whose Kodaira dimension is at least $n-2$, satisfies the Jordan property.

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Konstantin Loginov. 2022-09-24. Jordan property for groups of bimeromorphic self-maps of complex manifolds with large Kodaira dimension. https://arxiv.org/abs/2209.12032

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