Estimates on the Kodaira dimension for fibrations over abelian varieties

TL;DR

This paper provides estimates for the Kodaira dimension in fibrations over abelian varieties and strengthens the subadditivity property, with applications to algebraic geometry.

Contribution

It offers new bounds on Kodaira dimension for fibrations over abelian varieties and improves the understanding of their subadditivity property.

Findings

Strengthened subadditivity of Kodaira dimension for fibrations over abelian varieties

Derived estimates on Kodaira dimension in this context

Presented applications in algebraic geometry

Abstract

We give estimates on the Kodaira dimension for fibrations over abelian varieties, and give some applications. One of the results strengthens the subadditivity of Kodaira dimension of fibrations over abelian varieties.