Geodesic
Exceptional sheaves on del~Pezzo surfaces
Izvestiya. Mathematics , Tome 44 (1995) no. 3, pp. 479-513.

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In the present paper exceptional sheaves on del Pezzo surfaces are studied, and a description of rigid bundles on these surfaces is given. It is proved that each exceptional sheaf can be included in a complete exceptional collection. Furthermore, it is shown that all such collections can be obtained from each other by means of a sequence of standard operations called transformations. 
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S. A. Kuleshov; D. O. Orlov. Exceptional sheaves on del~Pezzo surfaces. Izvestiya. Mathematics , Tome 44 (1995) no. 3, pp. 479-513. http://geodesic.mathdoc.fr/item/IM2_1995_44_3_a2/

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