2015年12月

# Toward a higher codimensional Ueda theory

MATHEMATISCHE ZEITSCHRIFT
• Takayuki Koike

281
3-4

967

991

DOI
10.1007/s00209-015-1516-6

SPRINGER HEIDELBERG

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.

Web of Science ® 被引用回数 : 2

リンク情報
DOI
https://doi.org/10.1007/s00209-015-1516-6
Web of Science