Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles

Abstract

We prove that under a finite surjective map of irreducible smooth complex projective curves, the pullback and direct image of a parabolic ample (respectively, parabolic nef) vector bundle is again parabolic ample (respectively, parabolic nef) if and only if the original parabolic vector bundle is parabolic ample (respectively, parabolic nef).

arXiv comment9 pages