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Nicholas McCleerey ; Valentino Tosatti - Pluricomplex Green's functions and Fano manifolds
epiga:4706 - Épijournal de Géométrie Algébrique, June 21, 2019, Volume 3 - https://doi.org/10.46298/epiga.2019.volume3.4706Pluricomplex Green's functions and Fano manifoldsArticle
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.
Comment: EpiGA Volume 3 (2019), Article Nr. 9
Source: arXiv.org:1807.05808
Volume: Volume 3
Published on: June 21, 2019
Accepted on: May 30, 2019
Submitted on: July 23, 2018
Keywords: Mathematics - Complex Variables, 32W20, 32U35, 14J45, 32Q20, 53C25
Funding:
- Source : OpenAIRE Graph
- RTG: Analysis on Manifolds; Funder: National Science Foundation; Code: 1502632
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