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Regular version of the site

Article

Triangulated Endofunctors of the Derived Category of Coherent Sheaves Which Do Not Admit DG Liftings

Arnold Mathematical Journal. 2019. Vol. 5. No. 1. P. 139-143.

Recently, Rizzardo and Van den Bergh constructed an example of a triangulated functor between the derived categories of coherent sheaves on smooth projective varieties over a field k of characteristic 0 which is not of the Fourier-Mukai type. The purpose of this note is to show that if chark=p then there are very simple examples of such functors.