Rank-2 ample vector bundles on some smooth rational surfaces

Details Rank-2 ample vector bundles on some smooth rational surfaces Rank-2 ample vector bundles on some smooth rational surfaces

1996-05-13

arxiv.org/abs/alg-geom/9605004v1

Mathematics

Algebraic Geometry

AMS-TeX v2.1, 29 pages

Scientific paper

Some classification results for ample vector bundles of rank 2 on Hirzebruch
surfaces, and on Del Pezzo surfaces, are obtained. In particular, we classify
rank-2 ample vector bundles with $c_2$ less than 7 on Hirzebruch surfaces, and
with $c_2$ less than 4 on Del Pezzo surfaces.

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