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arXiv · 1807.05808

Pluricomplex Green's functions and Fano manifolds

Nicholas McCleerey·Valentino Tosatti
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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.

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Nicholas McCleerey, Valentino Tosatti. 2018-07-16. Pluricomplex Green's functions and Fano manifolds. https://doi.org/10.46298/epiga.2019.volume3.4706

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