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arXiv · 2405.19676

Equivalences of derived categories of sheaves on tame stacks

Fei Peng
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Abstract

Building on Olander's work on algebraic spaces, we prove Orlov's representability theorem relating fully faithful functors and Fourier--Mukai transforms between the bounded derived category of coherent sheaves to the case of smooth, proper, and tame algebraic stacks. This extends previous results of Kawamata for Deligne--Mumford stacks with generically trivial stabilizers and projective coarse moduli spaces.

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Fei Peng. 2024-05-30. Equivalences of derived categories of sheaves on tame stacks. https://arxiv.org/abs/2405.19676

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