Nef line bundles on Calabi-Yau threefolds, I

Abstract

We prove that a nef line bundle $\mathcal{L}$ with $c_1(\mathcal{L}{)}^2\ne 0$ on a Calabi-Yau threefold $X$ with Picard number $2$ and with $c_3(X)\ne 0$ is semiample, that is, some multiple of $\mathcal{L}$ is generated by global sections.

References in corpus (1)

• Abundance for varieties with many differential forms

Cited by in corpus (7)

• On Generalised Abundance, I
• Abundance for varieties with many differential forms
• On the Medvedev-Scanlon Conjecture for Minimal Threefolds of Non-Negative Kodaira Dimension
• Strictly nef divisors on K-trivial fourfolds
• Asymptotic estimate of cohomology groups valued in pseudo-effective line bundles
• Semipositive line bundles and (1,1)-classes
• On the existence of rational curves on projective hyperkähler fourfolds