Existence and deformations of Kähler–Einstein metrics on smoothable Q-Fano varieties
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Spotti, Cristiano
Sun, Song
Yao, Chengjian
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.
Description
Keywords
math.DG, math.DG, math.AG, math.CV
Journal Title
Duke Mathematical Journal
Conference Name
Journal ISSN
0012-7094
1547-7398
1547-7398
Volume Title
165
Publisher
Duke University Press
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/J002062/1)