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

TL;DR

This paper investigates the pseudo-effectivity of the second Chern classes in terminal projective threefolds with nef anticanonical divisors, providing reductions of a key conjecture and deriving related non-vanishing results.

Contribution

It offers a reduction approach to a conjecture on second Chern classes and establishes new non-vanishing results based on pseudo-effectivity.

Findings

Reduction of the conjecture for terminal threefolds with nef anticanonical divisors

Effective non-vanishing results derived from pseudo-effectivity

Insights into the structure of second Chern classes in algebraic geometry

Abstract

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.