Homogeneous fibrations on log Calabi-Yau varieties

2016/11/06 by Xu, Jinsong
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.01804

Abstract

We prove a structure theorem for the Albanese maps of varieties with Q-linearly trivial log canonical divisors. Our start point is the action of a nonlinear algebraic group on a projective variety.

Related

• Log homogeneous varieties
• Log Calabi-Yau fibrations
• Structure of projective varieties with nef anticanonical divisor: the case of log terminal singularities
• A strong counterexample to the log canonical Beauville--Bogomolov decomposition
• On quasi-Albanese morphisms for log canonical Calabi-Yau pairs