Derived Categories of Toric Varieties

@inproceedings{Kawamata2008DerivedCO,
  title={Derived Categories of Toric Varieties},
  author={Yujiro Kawamata},
  year={2008}
}
It is said to be strong if in addition that Hom(ei, ej) = 0 for p 6= 0 and all i, j. It is called complete if T coincides with the smallest triangulated subcategory containing all the ei (cf. [2]). It is usually hard to determine the explicit structure of a derived category of a variety. But it is known that some special varieties such as a projective space or a Grassmann variety have strong complete exceptional collections consisting of vector bundles ([1], [8], [9], [10]). Such sheaves are 
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