Pluricomplex Green's functions and Fano manifoldsArticle
Auteurs : Nicholas McCleerey ; Valentino Tosatti
NULL##NULL
Nicholas McCleerey;Valentino Tosatti
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
Volume : Volume 3
Publié le : 21 juin 2019
Accepté le : 30 mai 2019
Soumis le : 23 juillet 2018
Mots-clés : Mathematics - Complex Variables, 32W20, 32U35, 14J45, 32Q20, 53C25
Financement :
Source : OpenAIRE Graph- RTG: Analysis on Manifolds; Financeur: National Science Foundation; Code: 1502632