Ricci curvature on the blow-up of ℂP² at two points

Xiaohua Zhu

Vol. 206 (2002), No. 1, 245–256

DOI: 10.2140/pjm.2002.206.245

Abstract

In this note, we compute the Tian’s α_G(M)-invariant on ℂ P²#2ℂ P². Our result is an improvement of Abdesselem’s result in Abdesselem (1997). As a consequence, we obtain a good estimate of Ricci curvature on ℂ P²#2ℂ P² by studying certain complex Monge–Ampère equation.

Milestones

Received: 7 December 2000

Revised: 9 October 2001

Published: 1 September 2002