On Deformations and Moduli of Genus 2 Fibrations

Details On Deformations and Moduli of Genus 2 Fibrations On Deformations and Moduli of Genus 2 Fibrations

1998-11-20

arxiv.org/abs/math/9811121v1

Mathematics

Algebraic Geometry

Latex 2.09, 7 pages

Scientific paper

In this paper, we investigate the moduli of surfaces of general type admitting genus 2 fibrations with irregularity q = g_b + 1, where g_b >= 2 is the genus of the base. We prove that smooth fibrations are parametrized by a unique component in the moduli space. The same result applies to nonsmooth fibrations with special values of g_b. In the general case, we give a bound on the dimension of the corresponding connected components.

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