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arXiv · 2306.00671

On the Log Abundance for Compact {K{\"a}hler} threefolds II

Omprokash Das·Wenhao Ou
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Abstract

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

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Omprokash Das, Wenhao Ou. 2023-06-01. On the Log Abundance for Compact {K{\"a}hler} threefolds II. https://arxiv.org/abs/2306.00671

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