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Pluricomplex Green's functions and Fano manifolds. (arXiv:1807.05808v1 [math.CV])

来源于:arXiv
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. 查看全文>>