On the characterization of abelian varieties for log pairs in zero and positive characteristic
On the characterization of abelian varieties for log pairs in zero and positive characteristic
Let (X,Δ) be a pair. We study how the values of the log Kodaira dimension and log plurigenera relates to surjectivity and birationality of the Albanese map and the Albanese morphism of X in both characteristic 0 and characteristic p>0. In particular, we generalize some well known results for smooth …