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arXiv · 2608.20679

On a conjecture of Demailly-Peternell-Schneider: the Kahler case

Xin Fu·Juanyong Wang
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Abstract

Let $f:(X,\Delta)\rightarrow Y$ be a surjective holomorphic map between two normal Kahler varieties, where (X,\Delta) is a log canonical pair, -(KX+\Delta) is nef and Y is Q-Gorenstein. In Fu-Guo-Song-Wang [18], it is proved that -KY is pseudo-effective if f is a projective morphism. In this paper, prove that -KY is pseudo-effective without assuming that f is projective

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Xin Fu, Juanyong Wang. 2026-08-21. On a conjecture of Demailly-Peternell-Schneider: the Kahler case. https://arxiv.org/abs/2608.20679

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