  We show, using [14], that a smooth projective fibration f : X $\rightarrow$ Y
between connected complex quasi-projective manifolds satisfies the equality
$\kappa$(X) = $\kappa$(X y) + $\kappa$(Y) of Logarithmic Kodaira dimensions if
its fibres X y admit a good minimal model. Without the last assumption, this
was conjectured in [11]. Several cases are established in [13], which inspired
the present text. Although the present results overlap with those of [13] in
the projective case, the approach here is different, based on the r{\^o}le
played by birationally isotrivial fibrations, special manifolds and the core
map of Y introduced and constructed in [3].
