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

Authors
Spotti, Cristiano 
Sun, Song 
Yao, Chengjian 

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Type
Article
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Abstract

In this article we prove the existence of Kähler–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.

Publication Date
2016-11
Online Publication Date
2016-08-10
Acceptance Date
2015-10-27
Keywords
math.DG, math.DG, math.AG, math.CV
Journal Title
Duke Mathematical Journal
Journal ISSN
0012-7094
Volume Title
165
Publisher
Duke University Press
Sponsorship
Engineering and Physical Sciences Research Council (EP/J002062/1)