Mathematics – Algebraic Geometry
Scientific paper
2009-02-05
Mathematics
Algebraic Geometry
This version is withdrawn, and soon will be replaced with a more concise version
Scientific paper
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.
Rebelo Julio C.
Santoro Bianca
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