English

Comparison results for derived Deligne-Mumford stacks

Algebraic Geometry 2017-03-01 v1

Abstract

In this short note we write down a comparison between the notion of derived Deligne-Mumford stack in the sense of B. To\"en and G. Vezzosi [HAG-II] and the one introduced by J. Lurie in [DAG-V]. It is folklore that the two theories yield essentially the same objects, but it is difficult to locate in the literature a precise result, despite being sometimes useful to be able to switch between the two frameworks.

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Cite

@article{arxiv.1507.00573,
  title  = {Comparison results for derived Deligne-Mumford stacks},
  author = {Mauro Porta},
  journal= {arXiv preprint arXiv:1507.00573},
  year   = {2017}
}

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21 pages