A CHARACTERIZATION OF HYPERBOLIC KATO SURFACES
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Titre | A CHARACTERIZATION OF HYPERBOLIC KATO SURFACES |
Type de publication | Journal Article |
Year of Publication | 2014 |
Auteurs | Brunella M |
Journal | PUBLICACIONS MATEMATIQUES |
Volume | 58 |
Pagination | 251-261 |
Type of Article | Article |
ISSN | 0214-1493 |
Mots-clés | Kato 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. |
DOI | 10.5565/PUBLMAT_58114_13 |