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Chern Numbers of Certain Lefschetz Fibrations

András I. Stipsicz
Proceedings of the American Mathematical Society
Vol. 128, No. 6 (Jun., 2000), pp. 1845-1851
Stable URL: http://www.jstor.org/stable/119622
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Chern Numbers of Certain Lefschetz Fibrations
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Abstract

We address the geography problem of relatively minimal Lefschetz fibrations over surfaces of nonzero genus and prove that if the fiber-genus of the fibration is positive, then 0 ≤ c1 2 ≤ 5c2 (equivalently, 0 ≤ c1 2 ≤ 10χ h holds for those symplectic 4-manifolds. A useful characterization of minimality of such symplectic 4-manifolds is also proved.

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