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.
ISSN: 1468-4810
Izvestiya: Mathematics is the English edition of the Russian bimonthly journal Izvestiya Rossiiskoi Akademii Nauk, Seriya Matematicheskaya, founded in 1937. Izvestiya: Mathematics has been published in partnership with Turpion Ltd since 1995. The journal publishes only original research papers containing full results in the author's field of study.
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