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arXiv · 0902.0944

Fibrations of genus two on complex surfaces

Julio C. Rebelo·Bianca Santoro
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Abstract

We consider fibrations of genus 2 over complex surfaces. The purpose of this paper is primarily to provide a geometric description of the possible structures of the fibration on a neighborhood of a singular fiber. In particular it is shown that the "geometric data" of the singular fiber determines the fibration on its neighborhood up to a transversely holomorphic $C^{\infty}$-diffeomorphism. The method employed is quite flexible and it applies to good extent to fibrations of arbitrary genus.

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Julio C. Rebelo, Bianca Santoro. 2009-02-05. Fibrations of genus two on complex surfaces. https://arxiv.org/abs/0902.0944

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