Finiteness of Q-Fano compactifications of semisimple group with K\"ahler-Einstein metrics
Abstract
In this note, we give a way to classify Q-Fano compactifications of a semisimple group G. We will prove that there are only finitely many such Q-Fano G-compactifications, which admits (singular) K\"ahler-Einstein metrics. As an application, this improves a former result in arXiv:2001.11320.
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