An example of a singular metric arising from the blow-up limit in the continuity approach to Kähler–Einstein metrics

Yalong Shi and Xiaohua Zhu

Vol. 250 (2011), No. 1, 191–203

DOI: 10.2140/pjm.2011.250.191

Abstract

A family of Kähler metrics with Calabi’s symmetry on ℂP² #ℂP² arises from the continuity method for finding Kähler–Einstein metrics. We study the blow-up limit of this family.

Keywords

Kähler–Einstein metric, continuity method, Calabi’s symmetry condition, conically symmetric singularity

Mathematical Subject Classification 2000

Primary: 53C25

Secondary: 53C55, 58E11

Milestones

Received: 3 January 2010

Revised: 8 March 2010

Accepted: 16 April 2010

Published: 1 March 2011