A decomposition theorem for projective manifolds with nef anticanonical bundle
Algebraic Geometry
2017-06-28 v1 Complex Variables
Abstract
Let X be a simply connected projective manifold with nef anticanonical bundle. We prove that X is a product of a rationally connected manifold and a manifold with trivial canonical bundle. As an application we describe the MRC fibration of any projective manifold with nef anticanonical bundle.
Cite
@article{arxiv.1706.08814,
title = {A decomposition theorem for projective manifolds with nef anticanonical bundle},
author = {Junyan Cao and Andreas Höring},
journal= {arXiv preprint arXiv:1706.08814},
year = {2017}
}