Existence and deformations of Kähler–Einstein metrics on smoothable Q-Fano varieties
Authors
Spotti, Cristiano
Sun, Song
Yao, Chengjian
Change log
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)