K-Stability and Kähler-Einstein Metrics

Gang Tian

doi:10.1002/cpa.21578

K-Stability and Kähler-Einstein Metrics

Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

233 Scopus citations

Abstract

We prove that if a Fano manifold M is K-stable, then it admits a Kähler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds.

Original language	English (US)
Pages (from-to)	1085-1156
Number of pages	72
Journal	Communications on Pure and Applied Mathematics
Volume	68
Issue number	7
DOIs	https://doi.org/10.1002/cpa.21578
State	Published - Jul 1 2015

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1002/cpa.21578

Cite this

@article{c754c0095cc14eabbb4b58cb668a2470,

title = "K-Stability and K{\"a}hler-Einstein Metrics",

abstract = "We prove that if a Fano manifold M is K-stable, then it admits a K{\"a}hler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds.",

author = "Gang Tian",

note = "Publisher Copyright: {\textcopyright} 2015 Wiley Periodicals, Inc.",

year = "2015",

month = jul,

day = "1",

doi = "10.1002/cpa.21578",

language = "English (US)",

volume = "68",

pages = "1085--1156",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "7",

}

TY - JOUR

T1 - K-Stability and Kähler-Einstein Metrics

AU - Tian, Gang

PY - 2015/7/1

Y1 - 2015/7/1

N2 - We prove that if a Fano manifold M is K-stable, then it admits a Kähler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds.

AB - We prove that if a Fano manifold M is K-stable, then it admits a Kähler-Einstein metric. It affirms a longstanding conjecture for Fano manifolds.

UR - https://www.scopus.com/pages/publications/84929706215

UR - https://www.scopus.com/pages/publications/84929706215#tab=citedBy

U2 - 10.1002/cpa.21578

DO - 10.1002/cpa.21578

M3 - Article

AN - SCOPUS:84929706215

SN - 0010-3640

VL - 68

SP - 1085

EP - 1156

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 7

ER -

K-Stability and Kähler-Einstein Metrics

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this