Tohoku Mathematical Journal
2011

September
SECOND SERIES VOL. 63, NO. 3

Tohoku Math. J.
63 (2011), 441-460

Title ON A CLASS OF FOLIATED NON-KÄHLERIAN COMPACT COMPLEX SURFACES

Author Marco Brunella

(Received June 17, 2010, revised June 25, 2010)
Abstract. Motivated by recent results on non-Kählerian compact complex surfaces with small second Betti number, we classify those on which a holomorphic foliation (with singularities) exists.

2000 Mathematics Subject Classification. Primary 32J15; Secondary 37F75.

Key words and phrases. Compact complex surfaces, rational curves, holomorphic foliations, complete flows.

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