Class VII surfaces with $b_2$ curves

Georges Dloussky; Karl Oeljeklaus; Matei Toma

arxiv: math/0201010 · v1 · submitted 2002-01-02 · 🧮 math.CV · math.AG

Class VII surfaces with b₂ curves

Georges Dloussky , Karl Oeljeklaus , Matei Toma This is my paper

classification 🧮 math.CV math.AG

keywords classcurvesadmitsaffirmativeanswercompactcomplexconjecture

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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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Class VII surfaces with b₂ curves

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