Restricted tangent bundle of rational curves on projective hypersurfaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915398119587840 |
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| author | Mioranci, Lucas |
| author_facet | Mioranci, Lucas |
| contents | We determine all triples $(e,d,n)$ for which a general degree $d$ hypersurface $X\subset \mathbb{P}^n$ contains a degree $e$ rational curve $C$ with balanced restricted tangent bundle $T_X|_C$. In addition, we show how to compute explicit examples of hypersurfaces with balanced $T_X|_C$ when $C$ is a rational normal curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Restricted tangent bundle of rational curves on projective hypersurfaces Mioranci, Lucas Algebraic Geometry 14H60, 14J45, 14J70 (Primary) 14G17, 14N25, 14Q15 (Secondary) We determine all triples $(e,d,n)$ for which a general degree $d$ hypersurface $X\subset \mathbb{P}^n$ contains a degree $e$ rational curve $C$ with balanced restricted tangent bundle $T_X|_C$. In addition, we show how to compute explicit examples of hypersurfaces with balanced $T_X|_C$ when $C$ is a rational normal curve. |
| title | Restricted tangent bundle of rational curves on projective hypersurfaces |
| topic | Algebraic Geometry 14H60, 14J45, 14J70 (Primary) 14G17, 14N25, 14Q15 (Secondary) |
| url | https://arxiv.org/abs/2507.13927 |