Marti Lahoz : Effective Iitaka fibrations of varieties of maximal Albanese dimension

Posted by Mihnea Popa , part of the Algebraic Geometry Seminar.

At

Feb. 29, 2012, 4 p.m.

In

SEO 427

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.