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Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
Published 19 Aug 2015 in math.AG and math.DG | (1508.04578v1)
Abstract: We show that any $n$-dimensional Fano manifold $X$ admitting K\"ahler-Einstein metrics satisfies that the anti-canonical volume is less than or equal to the value $(n+1)n$. Moreover, the equality holds if and only if $X$ is isomorphic to the $n$-dimensional projective space.
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