On démontre que tout fibré vectoriel holomorphe de rang deux, non-filtrable, sur une surface elliptique non-kählérienne est une modification élémentaire d'une image directe d'un fibré en droites par un revêtement double de la surface.
We prove that any non-filtrable holomorphic rank-2 vector bundle on a non-Kähler elliptic surface is an elementary modification of a direct image of a line bundle by a double covering of the surface.
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@article{CRMATH_2003__336_7_581_0,
author = {Aprodu, Marian and Toma, Matei},
title = {Une {Note} sur les fibr\'es holomorphes non-filtrables},
journal = {Comptes Rendus. Math\'ematique},
pages = {581--584},
publisher = {Elsevier},
volume = {336},
number = {7},
year = {2003},
doi = {10.1016/S1631-073X(03)00139-0},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(03)00139-0/}
}
TY - JOUR AU - Aprodu, Marian AU - Toma, Matei TI - Une Note sur les fibrés holomorphes non-filtrables JO - Comptes Rendus. Mathématique PY - 2003 SP - 581 EP - 584 VL - 336 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(03)00139-0/ DO - 10.1016/S1631-073X(03)00139-0 LA - fr ID - CRMATH_2003__336_7_581_0 ER -
%0 Journal Article %A Aprodu, Marian %A Toma, Matei %T Une Note sur les fibrés holomorphes non-filtrables %J Comptes Rendus. Mathématique %D 2003 %P 581-584 %V 336 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(03)00139-0/ %R 10.1016/S1631-073X(03)00139-0 %G fr %F CRMATH_2003__336_7_581_0
Aprodu, Marian; Toma, Matei. Une Note sur les fibrés holomorphes non-filtrables. Comptes Rendus. Mathématique, Tome 336 (2003) no. 7, pp. 581-584. doi : 10.1016/S1631-073X(03)00139-0. http://www.numdam.org/articles/10.1016/S1631-073X(03)00139-0/
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