  We show that the general fibres of the Albanese morphism of a projective
special manifold are special as well (a question raised by the first-named
author). The main ingredient of the proof is a version (established by Birkar
and Chen) with boundary of the famous conjecture of Iitaka on the subadditivity
of the Kodaira dimension in an algebraic fibre space. Some consequences of our
main result are discussed.
