Degree growth of meromorphic surface maps

Details Degree growth of meromorphic surface maps Degree growth of meromorphic surface maps

2006-08-10

arxiv.org/abs/math/0608267v3

Mathematics

Dynamical Systems

17 pages, final version, to appear in Duke Math Journal

Scientific paper

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.

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