Une note sur les fibrés holomorphes non-filtrables

Marian Aprodu , Matei Toma

The paper is published: C. R. Acad. Sci. Paris, 336 (2003), 581-584

MSC 2000

32L05 Holomorphic bundles and generalizations
32J15 Compact surfaces
14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli

Abstract
We prove that any non-filtrable holomorphic rank-2 vector bundle on a non-Kaehler 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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