Degree growth of meromorphic surface maps
Dynamical Systems
2007-05-25 v3 Algebraic Geometry
Abstract
We study the degree growth of iterates of meromorphic selfmaps of compact Kahler surfaces. Using cohomology classes on the Riemann-Zariski space we show that the degrees grow similarly to those of mappings that are algebraically stable on some birational model.
Cite
@article{arxiv.math/0608267,
title = {Degree growth of meromorphic surface maps},
author = {S. Boucksom and C. Favre and M. Jonsson},
journal= {arXiv preprint arXiv:math/0608267},
year = {2007}
}
Comments
17 pages, final version, to appear in Duke Math Journal