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Monoidal infinity category of complexes from Tannakian viewpoint
Authors:Hiroshi Fukuyama  Isamu Iwanari
Affiliation:1. Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-8502, Japan
2. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
Abstract:In this paper we prove that a morphism between schemes or stacks naturally corresponds to a symmetric monoidal functor between stable $infty $ -categories of quasi-coherent complexes. It can be viewed as a derived analogue of Tannaka duality. As a consequence, we deduce that an algebraic stack satisfying a certain condition can be recovered from the symmetric monoidal stable $infty $ -category of quasi-coherent complexes with tensor operation.
Keywords:
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