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

Algebraic Geometry 2007-05-23 v6

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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Cite

@article{arxiv.math/0402251,
  title  = {On Pseudo-Effectivity of the Second Chern Classes for Smooth Threefolds},
  author = {Qihong Xie},
  journal= {arXiv preprint arXiv:math/0402251},
  year   = {2007}
}

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18 pages