Contents Online
Mathematical Research Letters
Volume 27 (2020)
Number 2
On degrees of birational mappings
Pages: 319 – 337
DOI: https://dx.doi.org/10.4310/MRL.2020.v27.n2.a1
Authors
Abstract
We prove that the degrees of the iterates $\deg (f^n)$ of a birational map satisfy $\liminf(\deg (f^n)) \lt + \infty$ if and only if the sequence $\deg (f^n)$ is bounded, and that the growth of $\deg (f^n)$ cannot be arbitrarily slow, unless $\deg (f^n)$ is bounded.
Accepted 6 January 2019
Published 8 June 2020