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arXiv · 1412.2354

Toward a higher codimensional Ueda theory

Takayuki Koike
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Abstract

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.

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Takayuki Koike. 2014-12-07. Toward a higher codimensional Ueda theory. https://arxiv.org/abs/1412.2354

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