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.
Accepté le :
Publié le :
Marian Aprodu 1, 2 ; Matei Toma 2, 3
@article{CRMATH_2003__336_7_581_0,
author = {Marian Aprodu and Matei Toma},
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},
}
Marian Aprodu; Matei Toma. Une Note sur les fibrés holomorphes non-filtrables. Comptes Rendus. Mathématique, Volume 336 (2003) no. 7, pp. 581-584. doi : 10.1016/S1631-073X(03)00139-0. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00139-0/
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