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

Ashima Bansal; Indranil Biswas

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arXiv · 2601.18166

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

Ashima Bansal·Indranil Biswas

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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).

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BibTeX RIS

Ashima Bansal, Indranil Biswas. 2026-01-26. Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles. https://arxiv.org/abs/2601.18166

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