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Article Dans Une Revue Mathematical Research Letters Année : 2020

On degrees of birational mappings

Serge Cantat
Junyi Xie
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Résumé

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.

Dates et versions

hal-01762181 , version 1 (09-04-2018)

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Serge Cantat, Junyi Xie. On degrees of birational mappings. Mathematical Research Letters, 2020, 27 (2), pp.319-337. ⟨10.4310/MRL.2020.v27.n2.a1⟩. ⟨hal-01762181⟩
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