Class VII0 surfaces with b(2) curves

Autor(en): Dloussky, G
Oeljeklaus, K
Toma, M
Stichwörter: CLASS VII0; CLASSIFICATION; compact complex surface; FIELD; global spherical shell; INOUE-HIRZEBRUCH SURFACES; Kato surface; Kodaira class VII; Mathematics
Erscheinungsdatum: 2003
Herausgeber: TOHOKU UNIVERSITY
Journal: TOHOKU MATHEMATICAL JOURNAL
Volumen: 55
Ausgabe: 2
Startseite: 283
Seitenende: 309
Zusammenfassung: 
We give an affirmative answer to the following conjecture of Ma. Kato: Let S be a compact complex surface in Kodaira's class VII0 which contains a strictly positive number of rational curves being exactly equal to the second Betti number of S. Then S admits a global spherical shell.
ISSN: 00408735
DOI: 10.2748/tmj/1113246942

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