A CHARACTERIZATION OF HYPERBOLIC KATO SURFACES

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TitreA CHARACTERIZATION OF HYPERBOLIC KATO SURFACES
Type de publicationJournal Article
Year of Publication2014
AuteursBrunella M
JournalPUBLICACIONS MATEMATIQUES
Volume58
Pagination251-261
Type of ArticleArticle
ISSN0214-1493
Mots-clésKato surfaces, Levi-flat foliations, plurisubharmonic functions
Résumé

We give a characterization of hyperbolic Kato surfaces in terms of the existence of an automorphic Green function on a cyclic covering. This is achieved by analysing a naturally defined Levi-flat foliation, and by perturbing certain Levi-flat leaves to strictly pseudoconvex hypersurfaces.

DOI10.5565/PUBLMAT_58114_13