On the Holomorphicity of Genus Two Lefschetz Fibrations
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چکیده
We prove that any genus-2 Lefschetz fibration without reducible fibers and with “transitive monodromy” is holomorphic. The latter condition comprises all cases where the number of singular fibers μ ∈ 10N is not congruent to 0 modulo 40. An auxiliary statement of independent interest is the holomorphicity of symplectic surfaces in Sbundles over S, of relative degree ≤ 7 over the base, and of symplectic surfaces in CP of degree ≤ 17.
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تاریخ انتشار 2002