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Izv. RAN. Ser. Mat., 1992, Volume 56, Issue 4, Pages 852–862 (Mi izv929)  

This article is cited in 104 scientific papers (total in 104 papers)

Projective bundles, monoidal transformations, and derived categories of coherent sheaves

D. O. Orlov


Abstract: This paper studies derived categories of coherent sheaves on varieties that are obtained by projectivization of vector bundles and by monoidal transformations. Conditions for the existence of complete exceptional sets in such categories are derived; they give new examples of varieties on which exceptional sets exist.

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English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1993, 41:1, 133–141

Bibliographic databases:

UDC: 512.73
MSC: Primary 14F05; Secondary 14E15, 14M15
Received: 05.06.1991

Citation: D. O. Orlov, “Projective bundles, monoidal transformations, and derived categories of coherent sheaves”, Izv. RAN. Ser. Mat., 56:4 (1992), 852–862; Russian Acad. Sci. Izv. Math., 41:1 (1993), 133–141

Citation in format AMSBIB
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\by D.~O.~Orlov
\paper Projective bundles, monoidal transformations, and derived categories of coherent sheaves
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 4
\pages 852--862
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 1
\pages 133--141
\crossref{https://doi.org/10.1070/IM1993v041n01ABEH002182}
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