On Deformations and Moduli of Genus 2 Fibrations

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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.
Latex 2.09, 7 pages

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Algebraic Geometry, 14J10 (Primary) 14J15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77742

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9811121
 http://arxiv.org/abs/math/9811121

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arXiv