%0 Journal Article
%T Toward a higher codimensional Ueda theory
%A Takayuki Koike
%J Mathematics
%D 2014
%I arXiv
%X Ueda's theory is a theory on a flatness criterion around a smooth hypersurface of a certain type of topologically trivial holomorphic line bundles. We propose a codimension two analogue of Ueda's theory. As an application, we give a sufficient condition for the anti-canonical bundle of the blow-up of the three dimensional projective space at $8$ points to be non semi-ample however admit a smooth Hermitian metric with semi-positive curvature.
%U http://arxiv.org/abs/1412.2354v1