Pluricomplex Green's functions and Fano manifolds
arXiv:1807.05808 · doi:10.46298/epiga.2019.volume3.4706
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.
EpiGA Volume 3 (2019), Article Nr. 9