# Greatest lower bounds on the Ricci curvature of Fano manifolds

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Gabor Szekelyhidi, Columbia University
Fine Hall 314

On Fano manifolds we study the supremum of the possible t such that there exists a metric in the first Chern class with Ricci curvature bounded below by t. For the projective plane blown up in one point we show that this supremum is 6/7.