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

cam.issuedOnline	2016-08-10
dc.contributor.author	Spotti, Cristiano
dc.contributor.author	Sun, Song
dc.contributor.author	Yao, Chengjian
dc.date.accessioned	2018-10-10T05:18:35Z
dc.date.available	2018-10-10T05:18:35Z
dc.date.issued	2016-11
dc.description.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.
dc.identifier.doi	10.17863/CAM.30784
dc.identifier.eissn	1547-7398
dc.identifier.issn	0012-7094
dc.identifier.uri	https://www.repository.cam.ac.uk/handle/1810/283416
dc.language	en
dc.language.iso	eng
dc.publisher	Duke University Press
dc.publisher.url	https://projecteuclid.org/euclid.dmj/1470847909#info
dc.subject	math.DG
dc.subject	math.DG
dc.subject	math.AG
dc.subject	math.CV
dc.title	Existence and deformations of Kähler–Einstein metrics on smoothable Q-Fano varieties
dc.type	Article
dcterms.dateAccepted	2015-10-27
prism.endingPage	3083
prism.issueIdentifier	16
prism.publicationDate	2016
prism.publicationName	Duke Mathematical Journal
prism.startingPage	3043
prism.volume	165
pubs.funder-project-id	Engineering and Physical Sciences Research Council (EP/J002062/1)
rioxxterms.licenseref.startdate	2016-11
rioxxterms.licenseref.uri	http://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.type	Journal Article/Review
rioxxterms.version	AM
rioxxterms.versionofrecord	10.1215/00127094-3645330

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