Bigness of the tangent bundles of projective bundles over curves
In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-10-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.476/ |
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| _version_ | 1825206254109196288 |
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| author | Kim, Jeong-Seop |
| author_facet | Kim, Jeong-Seop |
| author_sort | Kim, Jeong-Seop |
| collection | DOAJ |
| description | In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$. |
| format | Article |
| id | doaj-art-a12b8ede761646b5a57e0edf6110904f |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-a12b8ede761646b5a57e0edf6110904f2025-02-07T11:09:55ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-10-01361G71115112210.5802/crmath.47610.5802/crmath.476Bigness of the tangent bundles of projective bundles over curvesKim, Jeong-Seop0School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of KoreaIn this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.476/ |
| spellingShingle | Kim, Jeong-Seop Bigness of the tangent bundles of projective bundles over curves Comptes Rendus. Mathématique |
| title | Bigness of the tangent bundles of projective bundles over curves |
| title_full | Bigness of the tangent bundles of projective bundles over curves |
| title_fullStr | Bigness of the tangent bundles of projective bundles over curves |
| title_full_unstemmed | Bigness of the tangent bundles of projective bundles over curves |
| title_short | Bigness of the tangent bundles of projective bundles over curves |
| title_sort | bigness of the tangent bundles of projective bundles over curves |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.476/ |
| work_keys_str_mv | AT kimjeongseop bignessofthetangentbundlesofprojectivebundlesovercurves |