Positive cones of the projectivization of a parabolic bundle over a curve
Algebraic Geometry
2025-06-24 v1
Abstract
We study the positivity properties of the projectivization of a parabolic bundle over a smooth complex projective curve. The generators of its N\'eron--Severi group are computed, and the positive cone is determined. In particular, we compute explicitly the generators for the higher nef cones and the pseudoeffective cones. As an application, we deduce a necessary and sufficient condition for the semistability of a parabolic bundle.
Keywords
Cite
@article{arxiv.2506.17594,
title = {Positive cones of the projectivization of a parabolic bundle over a curve},
author = {Ashima Bansal and Indranil Biswas and Souradeep Majumder},
journal= {arXiv preprint arXiv:2506.17594},
year = {2025}
}
Comments
20 pages