no. 5
Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces
[Fibrés holomorphes de rang 2 sur des surfaces elliptiques non-kähleriennes]
Brînzănescu, Vasile1 ; Moraru, Ruxandra
1 Institute of Mathematics Simion Stoilow, Romanian Academy, PO Box 1-764, RO-70700, Bucharest (Roumanie), University of Toronto, department of mathematics, 100 St George Street, Toronto, Ontario M5S 3G3 (Canada)
Annales de l'Institut Fourier, Tome 55 (2005) no. 5, pp. 1659-1683.

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.

DOI : 10.5802/aif.2135
Classification : 14J60, 14D22, 14F05, 14J27, 32J15
Keywords: Non-Kähler surfaces, ellipic surfaces, holomorphic vector bundles
Mot clés : surfaces non-kähleriennes, surfaces elliptiques, fibrés vectoriels holomorphes

Brînzănescu, Vasile 1 ; Moraru, Ruxandra 

1 Institute of Mathematics Simion Stoilow, Romanian Academy, PO Box 1-764, RO-70700, Bucharest (Roumanie), University of Toronto, department of mathematics, 100 St George Street, Toronto, Ontario M5S 3G3 (Canada) 
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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) no. 5, pp. 1659-1683. doi : 10.5802/aif.2135. https://aif.centre-mersenne.org/articles/10.5802/aif.2135/

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