Kähler–Einstein metrics near an isolated log-canonical singularity

Datar, V and Fu, X and Song, J (2023) Kähler–Einstein metrics near an isolated log-canonical singularity. In: Journal fur die Reine und Angewandte Mathematik .

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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.

Item Type:	Journal Article
Publication:	Journal fur die Reine und Angewandte Mathematik
Publisher:	De Gruyter Open Ltd
Additional Information:	The copyright for this article belongs to De Gruyter Open Ltd.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	29 Mar 2023 10:39
Last Modified:	29 Mar 2023 10:39
URI:	https://eprints.iisc.ac.in/id/eprint/81171

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