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arXiv · 1910.00155

Bondal-Orlov Fully Faithfulness Criterion for Deligne-Mumford Stacks

Bronson Lim·Alexander Polishchuk
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Abstract

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. We prove a natural extension to the case when $X$ is a smooth and proper DM stack with projective coarse moduli space.

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Bronson Lim, Alexander Polishchuk. 2019-10-01. Bondal-Orlov Fully Faithfulness Criterion for Deligne-Mumford Stacks. https://arxiv.org/abs/1910.00155

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