Algebraic Geometry Seminar
Marti Lahoz
MPIM Bonn
Effective Iitaka fibrations of varieties of maximal Albanese dimension
Abstract: Let X be a variety of maximal Albanese dimension.
Chen and Hacon proved that if X has positive holomorphic Euler-characteristic,
then its tricanonical map is birational onto its image; in particular, X is of
general type.
When the Euler characteristic is not positive, we use generic vanishing
techniques to prove that the tetracanonical map of X induces the Iitaka
fibration.
Moreover, if X is of general type, then the tricanonical map is already
birational.
If time permits, I will also construct examples showing that these results are
optimal.
This is a joint work with Zhi Jiang and Sofia Tirabassi.
Wednesday February 29, 2012 at 4:00 PM in SEO 427