Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912473091670016 |
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| author | Costa, Laura Tarrío, Irene Macías |
| author_facet | Costa, Laura Tarrío, Irene Macías |
| contents | In this paper, we redefine the theory of walls and chambers due to Qin developing a new tool to study moduli spaces of stable rank 2 vector bundles on algebraic varieties of higher dimension. We apply it to describe components of some moduli spaces of rank 2 stable bundles on ruled 3-folds as well as to prove that some Brill-Noether loci are non-empty. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06882 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems Costa, Laura Tarrío, Irene Macías Algebraic Geometry 14J60, 14J30 In this paper, we redefine the theory of walls and chambers due to Qin developing a new tool to study moduli spaces of stable rank 2 vector bundles on algebraic varieties of higher dimension. We apply it to describe components of some moduli spaces of rank 2 stable bundles on ruled 3-folds as well as to prove that some Brill-Noether loci are non-empty. |
| title | Moduli spaces of stable bundles on ruled 3-folds and Brill-Noether problems |
| topic | Algebraic Geometry 14J60, 14J30 |
| url | https://arxiv.org/abs/2507.06882 |