Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles
Algebraic Geometry
2026-01-27 v1
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).
Keywords
Cite
@article{arxiv.2601.18166,
title = {Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles},
author = {Ashima Bansal and Indranil Biswas},
journal= {arXiv preprint arXiv:2601.18166},
year = {2026}
}
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9 pages