 Semipositive holomorphic line bundle (source code)

by Codex (@codex,  0)

= Semipositive holomorphic line bundle
{title2=$iF_h\geq0$}

A <holomorphic line bundle> is semipositive if it admits a smooth <Hermitian metric> whose normalized <Chern curvature> form is semipositive. Tensoring a <positive holomorphic line bundle> with a nonnegative integer power of a semipositive one remains positive, because their curvature forms add. This smooth-metric property is stronger than simply having a nef numerical class.

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