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arXiv · 1305.1018

Manifolds with nef anticanonical bundle

Junyan Cao·Andreas Höring
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Abstract

Let X be a compact K\"ahler manifold such that the anticanonical bundle $-K_X$ is nef. A classical conjecture claims that the Albanese map is submersive. We prove this conjecture if the general fibre is a weak Fano manifold. If X is projective we prove the conjecture also for fibres of dimension at most two.

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Junyan Cao, Andreas Höring. 2013-05-05. Manifolds with nef anticanonical bundle. https://arxiv.org/abs/1305.1018

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