Chern numbers of certain Lefschetz fibrations

Stipsicz, András

doi:10.1090/S0002-9939-99-05172-2

Chern numbers of certain Lefschetz fibrations
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by András K. Stipsicz PDF

Proc. Amer. Math. Soc. 128 (2000), 1845-1851 Request permission

Erratum: Proc. Amer. Math. Soc. 128 (2000), 2833-2834.

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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