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Working paper

All strictly exceptional collections in D^b_{coh}(P^m) consist of vector bundles

arxiv.org. math. Cornell University, 1995. No. alg-geom/9507014.
Positselski L.
It is proved that any strictly exceptional collection generating the derived category of coherent sheaves on a smooth projective variety X with \rk K_0(X) = \dim X + 1 constists of locally free sheaves up to a common shift.