TL;DRAbstract
In [N1, N2] the author obtained the following theorem on the existence of Kähler-Einstein metrics of positive scalar curvature: Theorem Let M be a Fano manifold 1 and let G ⊂ Aut(M) be a compact group of biholomorphisms and conjugate-bilolomorphisms of M. Assume that M does not admit a G-invariant multiplier ideal sheaf (in the sense of the definition below). Then M admits a Kähler-Einstein metric.
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In [N1, N2] the author obtained the following theorem on the existence of Kähler-Einstein metrics of positive scalar curvature: Theorem Let M be a Fano manifold 1 and let G ⊂ Aut(M) be a compact group of biholomorphisms and conjugate-bilolomorphisms of M. Assume that M does not admit a G-invariant multiplier ideal sheaf (in the sense of the definition below). Then M admits a Kähler-Einstein metric.
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