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Class VII surfaces with $b_2$ curves

Georges Dloussky·Karl Oeljeklaus·Matei Toma
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Abstract

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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Georges Dloussky, Karl Oeljeklaus, Matei Toma. 2002-01-02. Class VII surfaces with $b_2$ curves. https://arxiv.org/abs/math/0201010

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