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

Cristiano Spotti; Song Sun; Chengjian Yao

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

Cristiano Spotti, Song Sun, Chengjian Yao

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

44 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Duke Mathematical Journal
Vol/bind	165
Nummer	16
Sider (fra-til)	3043-3083
Antal sider	41
ISSN	0012-7094
Status	Udgivet - 2016
Udgivet eksternt	Ja

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title = "Existence and deformations of K{\"a}hler–Einstein metrics on smoothable ℚ-Fano varieties",

abstract = "In this article we prove the existence of K{\"a}hler-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.",

author = "Cristiano Spotti and Song Sun and Chengjian Yao",

year = "2016",

language = "English",

volume = "165",

pages = "3043--3083",

journal = "Duke Mathematical Journal",

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T1 - Existence and deformations of Kähler–Einstein metrics on smoothable ℚ-Fano varieties

AU - Spotti, Cristiano

AU - Sun, Song

AU - Yao, Chengjian

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84994240147&partnerID=8YFLogxK

M3 - Journal article

SN - 0012-7094

VL - 165

SP - 3043

EP - 3083

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 16

ER -

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

Abstract

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