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.
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.
Keywords: Non-Kähler surfaces, ellipic surfaces, holomorphic vector bundles
Mot clés : surfaces non-kähleriennes, surfaces elliptiques, fibrés vectoriels holomorphes
Brînzănescu, Vasile 1; Moraru, Ruxandra 
@article{AIF_2005__55_5_1659_0, author = {Br{\^\i}nz\u{a}nescu, Vasile and Moraru, Ruxandra}, title = {Holomorphic rank-2 vector bundles on {non-K\"ahler} elliptic surfaces}, journal = {Annales de l'Institut Fourier}, pages = {1659--1683}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {55}, number = {5}, year = {2005}, doi = {10.5802/aif.2135}, zbl = {1095.14039}, mrnumber = {2172276}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2135/} }
TY - JOUR AU - Brînzănescu, Vasile AU - Moraru, Ruxandra TI - Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces JO - Annales de l'Institut Fourier PY - 2005 SP - 1659 EP - 1683 VL - 55 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2135/ DO - 10.5802/aif.2135 LA - en ID - AIF_2005__55_5_1659_0 ER -
%0 Journal Article %A Brînzănescu, Vasile %A Moraru, Ruxandra %T Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces %J Annales de l'Institut Fourier %D 2005 %P 1659-1683 %V 55 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.2135/ %R 10.5802/aif.2135 %G en %F AIF_2005__55_5_1659_0
Brînzănescu, Vasile; Moraru, Ruxandra. Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces. Annales de l'Institut Fourier, Volume 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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