Surfaces of class VII0 with vector fields

Autor(en): Dloussky, G
Oeljeklaus, K
Toma, M
Stichwörter: CURVES; HOLOMORPHIC FLOWS; Mathematics; SINGULARITIES
Erscheinungsdatum: 1999
Herausgeber: EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Journal: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Volumen: 329
Ausgabe: 5
Startseite: 409
Seitenende: 412
Zusammenfassung: 
We show that a minimal surface of class VII0 with b(2) > 0 which admits a nontrivial holomorphic vector field contains exactly bz rational curves. By a theorem of I. Nakamura this implies that such a surface is a deformation of a blown-up primary Hopf surface. This result clarifies the classification of compact complex surfaces with holomorphic vector fields. (C) 1999 Academie des Sciences/Editions scientifiques et medicales Elsevier SAS.
ISSN: 07644442
DOI: 10.1016/S0764-4442(00)88615-2

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