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

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

2004-02-16

arxiv.org/abs/math/0402251v6

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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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