Rank-2 ample vector bundles on some smooth rational surfaces
Abstract
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 c2 less than 7 on Hirzebruch surfaces, and with c2 less than 4 on Del Pezzo surfaces.
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