Pluricomplex Green's functions and Fano manifolds
Complex Variables
2023-06-22 v4
Abstract
We show that if a Fano manifold does not admit Kahler-Einstein metrics then the Kahler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampere equation on its complement, confirming an expectation of Tian-Yau.
Keywords
Cite
@article{arxiv.1807.05808,
title = {Pluricomplex Green's functions and Fano manifolds},
author = {Nicholas McCleerey and Valentino Tosatti},
journal= {arXiv preprint arXiv:1807.05808},
year = {2023}
}
Comments
EpiGA Volume 3 (2019), Article Nr. 9