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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.16510 |
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| _version_ | 1866918343913504768 |
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| author | Brivio, Sonia Fallucca, Federico Favale, Filippo F. |
| author_facet | Brivio, Sonia Fallucca, Federico Favale, Filippo F. |
| contents | Let X be a smooth complex irreducible projective variety of dimension $n \geq 2$ and $H$ be an ample line bundle on $X$. In this paper, we construct families of $μ_H$-stable vector bundles on $X$ having fixed determinant and rank $r$, which are generated by $r+1$ global sections, parametrized by Grassmanian varieties. This gives into the corresponding moduli spaces special subvarieties birational to Grassmannian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16510 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some rational subvarieties of moduli spaces of stable vector bundles Brivio, Sonia Fallucca, Federico Favale, Filippo F. Algebraic Geometry Let X be a smooth complex irreducible projective variety of dimension $n \geq 2$ and $H$ be an ample line bundle on $X$. In this paper, we construct families of $μ_H$-stable vector bundles on $X$ having fixed determinant and rank $r$, which are generated by $r+1$ global sections, parametrized by Grassmanian varieties. This gives into the corresponding moduli spaces special subvarieties birational to Grassmannian. |
| title | Some rational subvarieties of moduli spaces of stable vector bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.16510 |