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arXiv · 1411.1725

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

Cristiano Spotti·Song Sun·Chengjian Yao
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Abstract

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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BibTeXRIS

Cristiano Spotti, Song Sun, Chengjian Yao. 2014-11-06. Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties. https://doi.org/10.1215/00127094-3645330

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