Degree growth of meromorphic surface maps

2006/08/10 by S. Boucksom, Boucksom, S., C. Favre +3 · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AG #math.DS

paper · pdf · doi:10.48550/arxiv.math/0608267

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

arxiv created 2007/05/25 · arxiv updated 2009/12/01

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.

Cited by

• A dynamical characterisation of smooth cubic affine surfaces of Markov type
• On the generating series of the degree sequence

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