Quelques propri\'et\'es de stabilit\'e des vari\'et\'es sp\'eciales
Algebraic Geometry
2014-12-09 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1410.2958,
title = {Quelques propri\'et\'es de stabilit\'e des vari\'et\'es sp\'eciales},
author = {Frédéric Campana and Benoît Claudon},
journal= {arXiv preprint arXiv:1410.2958},
year = {2014}
}
Comments
19 pages, in French. Comments are welcome