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

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Authors
Spotti, Cristiano
Sun, Song
Yao, Chengjian
Publication Date
2016-11
Journal Title
Duke Mathematical Journal
ISSN
0012-7094
Publisher
Duke University Press
Volume
165
Issue
16
Pages
3043-3083
Language
en
Type
Article
Metadata
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Citation
Spotti, C., Sun, S., & Yao, C. (2016). Existence and deformations of Kähler–Einstein metrics on smoothable Q-Fano varieties. Duke Mathematical Journal, 165 (16), 3043-3083. https://doi.org/10.1215/00127094-3645330
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.
Keywords
math.DG, math.DG, math.AG, math.CV
Sponsorship
Engineering and Physical Sciences Research Council (EP/J002062/1)
Identifiers
External DOI: https://doi.org/10.1215/00127094-3645330
This record's URL: https://www.repository.cam.ac.uk/handle/1810/283416
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Licence:
http://www.rioxx.net/licenses/all-rights-reserved
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