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On pseudo-effectivity of the second chern classes for smooth threefolds

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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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  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, 153-8914, Japan

    Qihong Xie

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  1. Qihong Xie
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Correspondence to Qihong Xie.

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Mathematics Subject Classification (2000): Primary 14C17, Secondary 14J30

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Xie, Q. On pseudo-effectivity of the second chern classes for smooth threefolds. manuscripta math. 115, 101–116 (2004). https://doi.org/10.1007/s00229-004-0485-6

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  • DOI: https://doi.org/10.1007/s00229-004-0485-6

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