Class VII surfaces with $b_2$ curves

Mathematics – Complex Variables

Scientific paper

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27 pages

Scientific paper

We give an affirmative answer to a conjecture of Ma. Kato, namely that every
compact complex surface $S$ in Kodaira's class $VII_0$ with $b_2(S) > 0$ and
$b_2(S)$ rational curves, admits a global spherical shell.

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