%0 Journal Article
%T Greatest lower bounds on the Ricci curvature of Fano manifolds
%A G¨˘bor Sz¨¦kelyhidi
%J Mathematics
%D 2009
%I arXiv
%R 10.1112/S0010437X10004938
%X On a Fano manifold M we study the supremum of the possible t such that there is a K\"ahler 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 K\"ahler-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.
%U http://arxiv.org/abs/0903.5504v1