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

Author:

Omprokash Das, Wenhao Ou

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Complex Variables (math.CV)

journal:

date:

2023-05-31 16:00:00

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.

PDF: On the Log Abundance for Compact {K{\"a}hler} threefolds II.pdf