On Ampleness of vector bundles

Snehajit Misra; Nabanita Ray

doi:10.5802/crmath.222

Géométrie algébrique

On Ampleness of vector bundles

Snehajit Misra ¹ ; Nabanita Ray ²

¹ Tata Institute of Fundamental Research (TIFR), Homi Bhabha Road, Colaba, Mumbai 400005, India.
² Tata Institute of Fundamental Research (TIFR) Homi Bhabha Road, Colaba, Mumbai 400005, India.

Comptes Rendus. Mathématique, Volume 359 (2021) no. 6, pp. 763-772.

Résumé

In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on a smooth projective variety $X$ . As an application, we show ampleness of some special vector bundles on certain ruled surfaces. We prove similar results for parabolic ampleness.

Reçu le : 2021-02-09
Révisé le : 2021-02-16
Accepté le : 2021-05-02
Publié le : 2021-09-02

Zbl

DOI : 10.5802/crmath.222

Classification : 14J60, 14N05, 14J40, 14C17

Affiliations des auteurs :

Snehajit Misra ¹ ; Nabanita Ray ²

¹ Tata Institute of Fundamental Research (TIFR), Homi Bhabha Road, Colaba, Mumbai 400005, India.
² Tata Institute of Fundamental Research (TIFR) Homi Bhabha Road, Colaba, Mumbai 400005, India.

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Snehajit Misra and Nabanita Ray},
     title = {On {Ampleness} of vector bundles},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {763--772},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {6},
     year = {2021},
     doi = {10.5802/crmath.222},
     zbl = {07390659},
     language = {en},
}

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Snehajit Misra; Nabanita Ray. On Ampleness of vector bundles. Comptes Rendus. Mathématique, Volume 359 (2021) no. 6, pp. 763-772. doi : 10.5802/crmath.222. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.222/

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