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arXiv · 1802.08470

On degrees of birational mappings

Serge Cantat·Junyi Xie
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Abstract

We prove that the degrees of the iterates ${\rm deg}(f^n)$ of a birational map satisfy $\liminf({\rm deg}(f^n))<+\infty$ if and only if the sequence ${\rm deg}(f^n)$ is bounded, and that the growth of ${\rm deg}(f^n)$ can not be arbitrarily slow, unless ${\rm deg}(f^n)$ is bounded.

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Serge Cantat, Junyi Xie. 2018-02-23. On degrees of birational mappings. https://arxiv.org/abs/1802.08470

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