Existence of Kahler-Ricci solitons on smoothable Q-Fano varities

Yan Li

英文摘要：

In this article we prove the existence of Kahler-Ricci solitons on smoothable, K-stable Q-Fano varieties. We also investigate the behavior of twisted Kahler-Ricci solitons in the Gromov-Hausdorff topology under this smoothing family.

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