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Degree growth of meromorphic surface maps

S. Boucksom·C. Favre·M. Jonsson
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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.

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S. Boucksom, C. Favre, M. Jonsson. 2007-05-25. Degree growth of meromorphic surface maps. https://arxiv.org/abs/math/0608267

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