All strictly exceptional collections in $D_{coh}^b(P^m)$ consist of vector bundles

Abstract

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.

LaTeX 2e, 6 pages, no figures; replaced to correct formatting (amslatex to latex2e transition) and several misprints, no other changes

References in corpus (1)

• Semiorthogonal decomposition for algebraic varieties