On full exceptional collections of line bundles on del Pezzo surfaces · arXivDesk
1505.06477May 24, 201520 pages. v2: major changes. More simple proof of the main theorem is given. Consideration of toric vectors and three-block collections is not needed now hence omitted. v3: some generalizations are made. Main theorem is proved now for numerically exceptional collections (rather than strong exceptional collections)
On full exceptional collections of line bundles on del Pezzo surfaces
We prove that any numerically exceptional collection of maximal length, consisting of line bundles, on a smooth del Pezzo surface is a standard augmentation in the sense of L.Hille and M.Perling. We deduce that any such collection is exceptional and full.
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