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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Fibrés vectoriels algébriques de petit rang sur la variété projective P^n / Algebraic vector bundles of small rank on the projective variety P^n

Bahtiti, Mohamed 08 March 2017 (has links)
1- Généralisation des fibrés instantons spéciaux sur P^2n+1 qui est appelée les fibrés (b+1)-instantons pondérés sur P^2n+1. On a étudié la stabilité de ces fibrés dans le cas où b=0. On a étudié la déformation de fibrés de Steiner pondérés sur P^2n+1. 2- Généralisation des fibrés de Tango sur P^n qui est appelée les fibrés de Tango pondérés sur P^n. On a étudié la stabilité de ces fibrés vectoriels. On a étudié la déformation de ces fibrés vectoriels. 3- Construction de fibrés vectoriels de rang 3 sur P^4. On a étudié la condition pour avoir des fibrés vectoriels qui ne sont pas isomorphes à une somme directe de trois fibrés en droites. / 1 - Generalization of the special instanton bundles on P^2n+1 which is called the (b+1)-weighted instanton bundles on P^2n+1. The stability of these vector bundles was studied in the case b=0. We studied the deformation of weighted Steiner bundles on P^2n+1. 2 - Generalization of the Tango bundles on P^n which is called the weighted Tango bundles on P^n. The stability of these vector bundles has been studied. The deformation of these vector bundles has been studied. 3 - Construction of vector bundles of rank 3 on P^4. We have studied the condition to have vector bundles that do not isomorphic to a direct sum of three line bundles.

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