Toward a higher codimensional Ueda theory

2014/12/07 by Takayuki Koike, Koike, Takayuki · 1 citation
Mathematics · #14C20 #32J25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1412.2354

openalex publication_date 2014/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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