Degree growth of meromorphic surface maps

Sébastien Boucksom; Charles Favre; Mattias Jonsson

doi:10.1215/00127094-2007-004

Degree growth of meromorphic surface maps

Sébastien Boucksom
, Charles Favre
, Mattias Jonsson

Laboratoire de Probabilités et Modèles Aléatoires
University of Michigan, Ann Arbor

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study the degree growth of iterates of meromorphic self-maps of compact Kähler 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 bimeromorphic model.

langue originale	Anglais
Pages (de - à)	519-538
Nombre de pages	20
journal	Duke Mathematical Journal
Volume	141
Numéro de publication	3
Les DOIs	https://doi.org/10.1215/00127094-2007-004
état	Publié - 15 févr. 2008
Modification externe	Oui

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10.1215/00127094-2007-004

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AU - Jonsson, Mattias

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N2 - We study the degree growth of iterates of meromorphic self-maps of compact Kähler 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 bimeromorphic model.

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DO - 10.1215/00127094-2007-004

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SP - 519

EP - 538

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 3

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Degree growth of meromorphic surface maps

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