Orlov, D. O. Projective bundles, monoidal transformations, and derived categories of coherent sheaves. (English. Russian original) Zbl 0798.14007 Russ. Acad. Sci., Izv., Math. 41, No. 1, 133-141 (1993); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 4, 852-862 (1992). Summary: 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. Cited in 12 ReviewsCited in 81 Documents MSC: 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 18E30 Derived categories, triangulated categories (MSC2010) 14E05 Rational and birational maps 14M15 Grassmannians, Schubert varieties, flag manifolds 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Keywords:derived categories of coherent sheaves; monoidal transformations; complete exceptional sets PDFBibTeX XMLCite \textit{D. O. Orlov}, Russ. Acad. Sci., Izv., Math. 41, No. 1, 1 (1992; Zbl 0798.14007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 4, 852--862 (1992) Full Text: DOI