Homogeneous fibrations on log Calabi-Yau varieties

TL;DR

This paper establishes a structure theorem for the Albanese maps of log Calabi-Yau varieties with trivial log canonical divisors, focusing on the action of nonlinear algebraic groups.

Contribution

It introduces a new structural understanding of Albanese maps in the context of log Calabi-Yau varieties with trivial log canonical divisors.

Findings

Proves a structure theorem for Albanese maps of such varieties.

Analyzes the action of nonlinear algebraic groups on projective varieties.

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.