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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. |
