2014/10/11 by Frédéric Campana, Campana, Frédéric, Benoît Claudon +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1410.2958
19 pages, in French. Comments are welcome
arxiv created 2014/12/06 · arxiv updated 2014/12/09
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.