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arXiv · 2607.02080

Positive Cones of Parabolic Grassmann Bundle over a curve

Ashima Bansal·Shivam Vats
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Abstract

In this article, we define the parabolic Grassmann bundle associated to a parabolic vector bundle over a smooth projective variety, generalizing the construction of parabolic projective bundles developed in \cite{BL}. We determine its Néron--Severi group and compute its nef, pseudoeffective, and Mori cones over smooth projective curves. We also compute the corresponding cones for the fiber product of two parabolic Grassmann bundles over a smooth projective curve.

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Ashima Bansal, Shivam Vats. 2026-07-02. Positive Cones of Parabolic Grassmann Bundle over a curve. https://arxiv.org/abs/2607.02080

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