Bigness of the tangent bundles of projective bundles over curves

Jeong-Seop Kim

doi:10.5802/crmath.476

Géométrie algébrique

Bigness of the tangent bundles of projective bundles over curves

Jeong-Seop Kim ¹

¹ School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1115-1122.

Résumé

In this short article, we determine the bigness of the tangent bundle $T_{X}$ of the projective bundle $X = ℙ_{C} (E)$ associated to a vector bundle $E$ on a smooth projective curve $C$ .

Reçu le : 2022-09-05
Révisé le : 2022-11-25
Accepté le : 2023-02-06
Publié le : 2023-10-24

DOI : 10.5802/crmath.476

Affiliations des auteurs :

Jeong-Seop Kim ¹

¹ School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro Dongdaemun-gu, Seoul 02455, Republic of Korea

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Jeong-Seop Kim},
     title = {Bigness of the tangent bundles of projective bundles over curves},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1115--1122},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     year = {2023},
     doi = {10.5802/crmath.476},
     language = {en},
}

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Jeong-Seop Kim. Bigness of the tangent bundles of projective bundles over curves. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1115-1122. doi : 10.5802/crmath.476. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.476/

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