Finiteness of mathbb Q-Fano compactifications of semisimple group with K\"ahler-Einstein metrics
Reviewed by Pithpith:QKWEUY3Popen to challenge →
classification
math.DG
math.AG
keywords
compactificationsfanomathbbahler-einsteingroupmetricssemisimpleadmits
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In this note, we give a way to classify $\mathbb Q$-Fano compactifications of a semisimple group $G$. We will prove that there are only finitely many such $\mathbb Q$-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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