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Class VII surfaces with b2 curves

Georges Dloussky, Karl Oeljeklaus, Matei Toma

math.CVarXiv:math/0201010

Abstract

We give an affirmative answer to a conjecture of Ma. Kato, namely that every compact complex surface S in Kodaira's class VII0 with b2(S) > 0 and b2(S) rational curves, admits a global spherical shell.

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