A decomposition theorem for projective manifolds with nef anticanonical bundle-Reference-Cited by-同舟云学术

A decomposition theorem for projective manifolds with nef anticanonical bundle

Published:2019-04-25 Issue:3 Volume:28 Page:567-597
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Cao Junyan,Höring Andreas

Abstract

Let X X be a simply connected projective manifold with nef anticanonical bundle. We prove that X 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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

Reference35 articles.

1. Variétés Kähleriennes dont la première classe de Chern est nulle;Beauville, Arnaud;J. Differential Geom.,1983

2. Curvature of vector bundles associated to holomorphic fibrations;Berndtsson, Bo;Ann. of Math. (2),2009

3. Nef reduction and anticanonical bundles;Bauer, Thomas;Asian J. Math.,2004

4. Bergman kernels and the pseudoeffectivity of relative canonical bundles;Berndtsson, Bo;Duke Math. J.,2008

5. Orbifolds, special varieties and classification theory;Campana, Frédéric;Ann. Inst. Fourier (Grenoble),2004

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Compact Kähler three-folds with nef anti-canonical bundle;Mathematische Annalen;2024-07-28

2. Miyaoka-type inequalities for terminal threefolds with nef anti-canonical divisors;Science China Mathematics;2024-07-03

3. Algebraic fibre spaces with strictly nef relative anti‐log canonical divisor;Journal of the London Mathematical Society;2024-05-29

4. Rationally connected threefolds with nef and bad anticanonical divisor;Annales de l'Institut Fourier;2024-05-17

5. Positivity of the exterior power of the tangent bundles;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2023-12-11