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

Ashima Bansal; Indranil Biswas

doi:10.48550/arxiv.2601.18166

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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Ashima Bansal, Indranil Biswas

DOI: 10.48550/arxiv.2601.18166

Cited by: 0

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).

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Advanced Algebra and Geometry

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 26 January 2026
Document type: Preprint