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arXiv · 1004.3087

Monoidal Infinity Category of Complexes from Tannakian Viewpoint

Hiroshi Fukuyama·Isamu Iwanari
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Abstract

In this paper we prove that a morphism between schemes or stacks naturally corresponds to a symmetric monoidal functor between stable infinity-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 stable infinity-category of quasi-coherent complexes with tensor operation.

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Hiroshi Fukuyama, Isamu Iwanari. 2012-09-27. Monoidal Infinity Category of Complexes from Tannakian Viewpoint. https://arxiv.org/abs/1004.3087

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