McCleerey, Nicholas and Tosatti, Valentino - Pluricomplex Green's functions and Fano manifolds

epiga:4706 - Épijournal de Géométrie Algébrique, June 21, 2019, Volume 3
Pluricomplex Green's functions and Fano manifolds

Authors: McCleerey, Nicholas and Tosatti, Valentino

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.


Source : oai:arXiv.org:1807.05808
Volume: Volume 3
Published on: June 21, 2019
Submitted on: July 23, 2018
Keywords: Mathematics - Complex Variables,32W20, 32U35, 14J45, 32Q20, 53C25


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