# Bondal-Orlov Fully Faithfulness Criterion for Deligne-Mumford Stacks

27 Mar 2020 Lim Bronson Polishchuk Alexander

Suppose $F\colon \mathcal{D}(X)\to \mathcal{T}$ is an exact functor from the bounded derived category of coherent sheaves on a smooth projective variety $X$ to a triangulated category $\mathcal{T}$. If $F$ possesses left and right adjoints, then the Bondal-Orlov criterion gives a simple way of determining if $F$ is fully faithful... (read more)

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