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

We give a reduction of the conjecture that for terminal projective threefolds whose anticanonical divisors are nef, the second Chern classes are pseudo-effective. On the other hand, some effective non-vanishing results are obtained as applications of the pseudo-effectivity of the second Chern classes.

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Published 1 January 2005