A decomposition theorem for projective manifolds with nef anticanonical bundle

By Junyan Cao, A. Höring. Journal of Algebraic Geometry, 2017

68 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0992ba3dd7c24079386d037d115f3ab2fedd521f

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In Geometry and Topology

1. Xiaokui Yang
2. Fang Zheng
3. Valentino Tosatti
4. Lei Ni

In Mathematical Physics

1. Xiaokui Yang

Citations in the corpus

• RC-positivity, rational connectedness and Yau's conjecture (2017, background): “ure is a projective and rationally connected manifold. This project is motivated by a number of well-known conjectures proposed by Yau, Mumford, Demailly, Campana, Peternell and etc., and we refer to [55, 57, 10, 33, 32, 16, 17, 38, 27, 7, 12, 14, 28, 6, 49, 11, 15] and the references therein. A pro”