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TITLE Bondal-Orlov fully faithfulness criterion for Deligne-Mumford stacks
KIAS AUTHORS Polishchuk, Alexander
JOURNAL MANUSCRIPTA MATHEMATICA, 2021
ARCHIVE  
ABSTRACT Suppose F : D(X) -> T is an exact functor from the bounded derived category of coherent sheaves on a smooth projective variety X to a triangulated category T. If F possesses left and right adjoints, then the Bondal-Orlov criterion gives a simple way of determining if F is fully faithful. We prove a natural extension of this theorem to the case when X is a smooth and proper DM stack with projective coarse moduli space.
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