Proceedings of the American Mathematical Society

Author(s): András K. Stipsicz
Journal: Proc. Amer. Math. Soc. 128 (2000), 1845-1851.
MSC (1991): Primary 57R99, 57M12
Posted: October 18, 1999
Errata: Proc. Amer. Math. Soc. 128 (2000), 2833-2834.
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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 $0\leq c_1^2\leq 5c_2$ (equivalently, $0\leq c_1^2 \leq 10 \chi _h$ ) holds for those symplectic 4-manifolds. A useful characterization of minimality of such symplectic 4-manifolds is also proved.

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