K-polystability of 3-dimensional log Fano pairs of Maeda type

Abstract

Using the Abban-Zhuang theory and the classification of three-dimensional log smooth log Fano pairs due to Maeda, we prove that threefold log Fano pairs (X, D) of Maeda type with reducible boundary D are K-unstable, with four exceptions. We also correct several inaccuracies in Maeda's classification.

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