On the Log Abundance for Compact Kähler threefolds II

2023/06/01 by Omprokash Das, Das, Omprokash, Wenhao Ou +1 · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2306.00671

Abstract

In this article we show that if (X, Δ) is a log canonical compact Kähler threefold pair such that K_X+Δ is nef and the numerical dimension ν(X, K_X+Δ)=2, then K_X+Δ is semi-ample. This result combined with our previous work in arXiv:2201.01202 shows that the log abundance holds for log canonical compact Kähler threefold pairs.

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• Orbifold Chern classes and Bogomolov-Gieseker inequalities
• Orbifold Bogomolov-Gieseker inequalities on compact Kähler varieties
• Deformation of nef adjoint canonical line bundles

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