Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties


الملخص بالإنكليزية

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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