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Izv. RAN. Ser. Mat., 1994, Volume 58, Issue 3, Pages 53–87 (Mi izv788)  

This article is cited in 35 scientific papers (total in 35 papers)

Exceptional sheaves on del Pezzo surfaces

S. A. Kuleshov, D. O. Orlov

Abstract: 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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English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1995, 44:3, 479–513

Bibliographic databases:

Document Type: Article
UDC: 512.723
MSC: 14F05, 14J26
Received: 03.06.1993

Citation: S. A. Kuleshov, D. O. Orlov, “Exceptional sheaves on del Pezzo surfaces”, Izv. RAN. Ser. Mat., 58:3 (1994), 53–87; Russian Acad. Sci. Izv. Math., 44:3 (1995), 479–513

Citation in format AMSBIB
\by S.~A.~Kuleshov, D.~O.~Orlov
\paper Exceptional sheaves on del~Pezzo surfaces
\jour Izv. RAN. Ser. Mat.
\yr 1994
\vol 58
\issue 3
\pages 53--87
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 3
\pages 479--513

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    21. U. V. Dubey, V. M. Mallick, “Reconstruction of a superscheme from its derived category”, J. Ramanujan Math. Soc., 27:4 (2012), 411–424  mathscinet  zmath  isi
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    23. S. A. Kuleshov, “Isometries of semi-orthogonal forms on a $\mathbb Z$-module of rank 3”, Izv. Math., 77:1 (2013), 44–86  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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    26. P. Hacking, “Exceptional bundles associated to degenerations of surfaces”, Duke Math. J., 162:6 (2013), 1171–1202  crossref  mathscinet  zmath  isi  elib
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    30. Alexey Elagin, Valery Lunts, “On full exceptional collections of line bundles on del Pezzo surfaces”, Mosc. Math. J., 16:4 (2016), 691–709  mathnet  mathscinet
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  • Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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