Rank-2 ample vector bundles on some smooth rational surfaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150145Some 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.AMS-TeX v2.1, 29 pagesAlgebraic Geometry14J60 (Primary) 14F05, 14J26 (Secondary)Rank-2 ample vector bundles on some smooth rational surfacestext