Coupled Kähler–Einstein Metrics-Reference-Cited by-同舟云学术

Coupled Kähler–Einstein Metrics

Published:2018-02-01 Issue:21 Volume:2019 Page:6765-6796
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Hultgren Jakob¹,Witt Nyström D²

Affiliation:

1. Chalmers University of Technology, Chalmers Tvärgata, Göteborg, Sweden

2. Gothenburg University, Chalmers Tvärgata, Göteborg, Sweden

Abstract

Abstract We propose new types of canonical metrics on Kähler manifolds, called coupled Kähler–Einstein metrics, generalizing Kähler–Einstein metrics. We prove existence and uniqueness results in the cases when the canonical bundle is ample and when the manifold is Kähler–Einstein Fano. In the Fano case, we also prove that existence of coupled Kähler–Einstein metrics imply a certain algebraic stability condition, generalizing K-polystability.

Funder

Vetenskapsrådet

H2020 European Research Council

Swedish Research Council

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2019/21/6765/34906600/rnx298.pdf

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