Estimates on the Kodaira dimension for fibrations over abelian varieties

2022/07/18 by Meng, Fanjun
#14D06 #14K05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.08359

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.

Related

• Kodaira dimension of algebraic fiber spaces over abelian varieties
• The subadditivity of the Kodaira Dimension for Fibrations of Relative Dimension One in Positive Characteristics
• Conjectures on the Kodaira dimension
• Subadditivity of Kodaira dimension does not hold in positive characteristic
• A refined Kodaira dimension and its canonical fibration