Greatest lower bounds on the Ricci curvature of Fano manifolds

Abstract

On a Fano manifold M we study the supremum of the possible t such that there is a Kähler metric in c_1(M) with Ricci curvature bounded below by t. This is shown to be the same as the maximum existence time of Aubin's continuity path for finding Kähler-Einstein metrics. We show that on P^2 blown up in one point this supremum is 6/7, and we give upper bounds for other manifolds.

12 pages

References in corpus (1)

• The Kähler-Ricci flow on surfaces of positive Kodaira dimension

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