Kodaira dimension of fibrations over abelian varieties

Abstract

We prove an additivity result for the log Kodaira dimension of algebraic fiber spaces over abelian varieties, a superadditivity result for fiber spaces over varieties of maximal Albanese dimension, as well as a subadditivity result for log pairs.

15 pages; v4: belatedly, the final version that appeared in IMRN

References in corpus (1)

• Conjectures on the Kodaira dimension

Cited by in corpus (2)

• On surjective morphisms to abelian varieties and a generalization of the Iitaka conjecture
• Estimates on the Kodaira dimension for fibrations over abelian varieties