Corpus ID: 196831828

Tensor stable moduli stacks and refined representations of quivers.

@article{Abdelgadir2019TensorSM,
  title={Tensor stable moduli stacks and refined representations of quivers.},
  author={Tarig M. H. Abdelgadir and D. Chan},
  journal={arXiv: Algebraic Geometry},
  year={2019}
}
In this paper, we look at the problem of modular realisations of derived equivalences, and more generally, the problem of recovering a Deligne-Mumford stack $\mathbb{X}$ and a bundle $\mathcal{T}$ on it, via some moduli problem (on $\mathbb{X}$ or $A = \operatorname{End}_{\mathbb{X}} \mathcal{T}$). The key issue is, how does one incorporate some of the monoidal structure of $\operatorname{Coh}(\mathbb{X})$ into the moduli problem. To this end, we introduce a new moduli stack, the tensor stable… Expand
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