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

Leonid Positselski

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arXiv · alg-geom/9507014

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

Leonid Positselski

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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.

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Leonid Positselski. 2013-10-26. All strictly exceptional collections in $D^b_{coh}(P^m)$ consist of vector bundles. https://arxiv.org/abs/alg-geom/9507014

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