Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties
classification
🧮 math.DG
math.AGmath.CV
keywords
metricsexistencekahler-einsteinq-fanoq-gorensteinsmoothablevarietiesbehave
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We prove the existence of Kahler-Einstein metrics on Q-Gorenstein smoothable, K-polystable Q-Fano varieties, and we show how these metrics behave, in the Gromov-Hausdorff sense, under Q-Gorenstein smoothings.
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