Tohoku Mathematical Journal

Class {$\rm VII\sb 0$} surfaces with {$b\sb 2$} curves

Georges Dloussky, Karl Oeljeklaus, and Matei Toma

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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.

Article information

Source
Tohoku Math. J. (2), Volume 55, Number 2 (2003), 283-309.

Dates
First available in Project Euclid: 11 April 2005

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1113246942

Digital Object Identifier
doi:10.2748/tmj/1113246942

Mathematical Reviews number (MathSciNet)
MR1979500

Zentralblatt MATH identifier
1034.32012

Subjects
Primary: 32J15: Compact surfaces
Secondary: 32Q57: Classification theorems

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

Citation

Dloussky, Georges; Oeljeklaus, Karl; Toma, Matei. Class {$\rm VII\sb 0$} surfaces with {$b\sb 2$} curves. Tohoku Math. J. (2) 55 (2003), no. 2, 283--309. doi:10.2748/tmj/1113246942. https://projecteuclid.org/euclid.tmj/1113246942


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References

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Tohoku University, Mathematical Institute

Tohoku Mathematical Journal

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