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2003 Class {$\rm VII\sb 0$} surfaces with {$b\sb 2$} curves
Georges Dloussky, Karl Oeljeklaus, Matei Toma
Tohoku Math. J. (2) 55(2): 283-309 (2003). DOI: 10.2748/tmj/1113246942

Abstract

We give an affirmative answer to the following conjecture of Ma, Kato: Let $S$ be a compact complex surface in Kodaira's class $\rm {VII_{0}}$ 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.

Citation

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Georges Dloussky. Karl Oeljeklaus. Matei Toma. "Class {$\rm VII\sb 0$} surfaces with {$b\sb 2$} curves." Tohoku Math. J. (2) 55 (2) 283 - 309, 2003. https://doi.org/10.2748/tmj/1113246942

Information

Published: 2003
First available in Project Euclid: 11 April 2005

zbMATH: 1034.32012
MathSciNet: MR1979500
Digital Object Identifier: 10.2748/tmj/1113246942

Subjects:
Primary: 32J15
Secondary: 32Q57

Keywords: Compact Complex Surface , Global Spherical Shell , Kato Surface , Kodaira Class VII

Rights: Copyright © 2003 Tohoku University

Vol.55 • No. 2 • 2003
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