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On Pseudo-Effectivity of the Second Chern Classes for Smooth Threefolds

Qihong Xie
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Abstract

We prove that for smooth projective threefolds whose anticanonical divisors are nef, the second Chern classes are pseudo-effective under a weak assumption. As an application, the pseudo-effectivity of the second Chern classes implies that Kawamata's Effective Non-vanishing Conjecture holds for such threefolds.

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Qihong Xie. 2004-10-19. On Pseudo-Effectivity of the Second Chern Classes for Smooth Threefolds. https://arxiv.org/abs/math/0402251

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