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arXiv:math/0608267 [math.DS]AbstractReferencesReviewsResources

Degree growth of meromorphic surface maps

S. Boucksom, C. Favre, M. Jonsson

Published 2006-08-10, updated 2007-05-25Version 3

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.

Comments: 17 pages, final version, to appear in Duke Math Journal
Categories: math.DS, math.AG
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