Positive cones of the projectivization of a parabolic bundle over a curve
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911018567860224 |
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| author | Bansal, Ashima Biswas, Indranil Majumder, Souradeep |
| author_facet | Bansal, Ashima Biswas, Indranil Majumder, Souradeep |
| contents | We study the positivity properties of the projectivization of a parabolic bundle over a smooth complex projective curve. The generators of its Néron--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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positive cones of the projectivization of a parabolic bundle over a curve Bansal, Ashima Biswas, Indranil Majumder, Souradeep Algebraic Geometry 14H60, 14L24, 14F05 We study the positivity properties of the projectivization of a parabolic bundle over a smooth complex projective curve. The generators of its Néron--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. |
| title | Positive cones of the projectivization of a parabolic bundle over a curve |
| topic | Algebraic Geometry 14H60, 14L24, 14F05 |
| url | https://arxiv.org/abs/2506.17594 |