Constructions of Kähler-Einstein metrics with negative scalar curvature

Jian Song; Ben Weinkove

doi:10.1007/s00208-009-0427-4

Constructions of Kähler-Einstein metrics with negative scalar curvature

Jian Song, Ben Weinkove

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article

3 Scopus citations

Abstract

We show that on Kähler manifolds with negative first Chern class, the sequence of algebraic metrics introduced by Tsuji converges uniformly to the Kähler-Einstein metric. For algebraic surfaces of general type and orbifolds with isolated singularities, we prove a convergence result for a modified version of Tsuji's iterative construction.

Original language	English (US)
Pages (from-to)	59-79
Number of pages	21
Journal	Mathematische Annalen
Volume	347
Issue number	1
DOIs	https://doi.org/10.1007/s00208-009-0427-4
State	Published - Feb 1 2010

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All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

Song, J., & Weinkove, B. (2010). Constructions of Kähler-Einstein metrics with negative scalar curvature. Mathematische Annalen, 347(1), 59-79. https://doi.org/10.1007/s00208-009-0427-4

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Access to Document

10.1007/s00208-009-0427-4