  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.
