Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces
[Fibrés holomorphes de rang 2 sur des surfaces elliptiques non-kähleriennes]
Brînzănescu, Vasile ; Moraru, Ruxandra
Annales de l'Institut Fourier, Tome 55 (2005), p. 1659-1683 / Harvested from Numdam
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Dans cet article, nous étudions l'existence de structures holomorphes pour les fibrés de rang 2 sur des surfaces elliptiques non-kähleriennes ; entre autres, nous donnons des conditions nécessaires et suffisantes pour l'existence de fibrés holomorphes de rang 2 sur des surfaces elliptiques non-kähleriennes.

In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.

Publié le : 2005-01-01
DOI : https://doi.org/10.5802/aif.2135
Classification:  14J60,  14D22,  14F05,  14J27,  32J15
Mots clés: surfaces non-kähleriennes, surfaces elliptiques, fibrés vectoriels holomorphes 
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     author = {Br\^\i nz\u anescu, Vasile and Moraru, Ruxandra},
     title = {Holomorphic rank-2 vector bundles on non-K\"ahler elliptic surfaces},
     journal = {Annales de l'Institut Fourier},
     volume = {55},
     year = {2005},
     pages = {1659-1683},
     doi = {10.5802/aif.2135},
     mrnumber = {2172276},
     zbl = {1095.14039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2005__55_5_1659_0}
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Brînzănescu, Vasile; Moraru, Ruxandra. Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces. Annales de l'Institut Fourier, Tome 55 (2005) pp. 1659-1683. doi : 10.5802/aif.2135. http://gdmltest.u-ga.fr/item/AIF_2005__55_5_1659_0/

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