Let a closed, minimal, symplectic 4-manifold X contain a symplectic surface F such that the genus g of F is greater than or equal to. one and the value c(1) (TX) [F] > g. Then we show that the space X is rational or ruled.
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Univ Massachusetts, Dept Math & Stat, N Pleasant, Amherst, MA 01003 USAUniv Massachusetts, Dept Math & Stat, N Pleasant, Amherst, MA 01003 USA
Baykur, R. Inanc
Hayano, Kenta
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Keio Univ, Fac Sci & Technol, Dept Math, Hiyoshi, Yokohama, Kanagawa 2238522, JapanUniv Massachusetts, Dept Math & Stat, N Pleasant, Amherst, MA 01003 USA
Hayano, Kenta
Monden, Naoyuki
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Okayama Univ, Fac Sci, Dept Math, Okayama, Okayama 7008530, JapanUniv Massachusetts, Dept Math & Stat, N Pleasant, Amherst, MA 01003 USA
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AA Kharkevich Inst Informat Transmiss Problems, B Karetnyi Per 19, Moscow 127051, Russia
Univ Hradec Kralove, Fac Sci, Rokitanskeho 62, Hradec Kralove 50003, Czech RepublicAA Kharkevich Inst Informat Transmiss Problems, B Karetnyi Per 19, Moscow 127051, Russia
Alekseevsky, D., V
Santi, A.
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Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, ItalyAA Kharkevich Inst Informat Transmiss Problems, B Karetnyi Per 19, Moscow 127051, Russia