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arXiv · 1405.4698

On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles

Takayuki Koike
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Abstract

We apply Ueda theory to a study of singular Hermitian metrics of a (strictly) nef line bundle $L$. Especially we study minimal singular metrics of $L$, metrics of $L$ with the mildest singularities among singular Hermitian metrics of $L$ whose local weights are plurisubharmonic. In some situations, we determine a minimal singular metric of $L$. As an application, we give new examples of (strictly) nef line bundles which admit no smooth Hermitian metric with semi-positive curvature.

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Takayuki Koike. 2014-05-19. On the minimality of canonically attached singular Hermitian metrics on certain nef line bundles. https://doi.org/10.1215/21562261-3089091

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