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

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.

8 pages

Cited by in corpus (7)

• Extension with log-canonical measures and an improvement to the plt extension of Demailly--Hacon--Paun
• On the neighborhood of a torus leaf and dynamics of holomorphic foliations
• Ueda theory for compact curves with nodes
• On a neighborhood of a torus leaf of a certain class of holomorphic foliations on complex surfaces
• Toward a higher codimensional Ueda theory
• Holomorphic foliation associated with a semi-positive class of numerical dimension one
• On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle