Kähler–Einstein metrics near an isolated log-canonical singularity-Reference-Cited by-同舟云学术

Kähler–Einstein metrics near an isolated log-canonical singularity

Published:2023-03-04 Issue:0 Volume:0 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Datar Ved¹,Fu Xin²,Song Jian³

Affiliation:

1. Department of Mathematics , Indian Institute of Science , Bangalore , India

2. Department of Mathematics , University of California , Irvine , CA 92617 , USA

3. Department of Mathematics , Rutgers University , Piscataway , NJ 08854 , USA

Abstract

Abstract We construct Kähler–Einstein metrics with negative scalar curvature near an isolated log canonical (non-log terminal) singularity. Such metrics are complete near the singularity if the underlying space has complex dimension 2. We also establish a stability result for Kähler–Einstein metrics near certain types of isolated log canonical singularity. As application, for complex dimension 2 log canonical singularity, we show that any complete Kähler–Einstein metric of negative scalar curvature near an isolated log canonical (non-log terminal) singularity is smoothly asymptotically close to model Kähler–Einstein metrics from hyperbolic geometry.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2022-0095/pdf

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