K\"ahler-Einstein metrics with cone singularities on klt pairs
Complex Variables
2012-12-07 v1 Differential Geometry
Abstract
Let (X,D) be a klt pair. Assuming either K_X+D big or -(K_X+D) ample, and that the coefficients of D are greater than 1/2, we show that the K\"ahler-Einstein metric attached to (X,D) -whenever it exists- has cone singularities along D on the log-smooth locus of the pair intersected with the ample locus of K_X+D (in the negatively curved case).
Keywords
Cite
@article{arxiv.1212.1383,
title = {K\"ahler-Einstein metrics with cone singularities on klt pairs},
author = {Henri Guenancia},
journal= {arXiv preprint arXiv:1212.1383},
year = {2012}
}
Comments
19 pages