Holomorphic self-maps of singular rational surfaces
Favre, Charles (Centre national de la recherche scientifique (França). Institut de Mathématiques)
Université Paris 7

Date:	2010
Abstract:	We give a new proof of the classification of normal singular surface germs admitting non-invertible holomorphic self-maps and due to J. Wahl. We then draw an analogy between the birational classification of singular holomorphic foliations on surfaces, and the dynamics of holomorphic maps. Following this analogy, we introduce the notion of minimal holomorphic model for holomorphic maps. We give sufficient conditions which ensure the uniqueness of such a model.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Rational maps ; Dynamics ; Surface singularity ; Valuation space
Published in:	Publicacions matemàtiques, Vol. 54, Núm. 2 (2010) , p. 389-432, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/191390
DOI: 10.5565/PUBLMAT_54210_06

44 p, 404.7 KB

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