Tannakian观点下复形的Monoidal无穷范畴
Monoidal Infinity Category of Complexes from Tannakian Viewpoint
摘要：
在本文中，我们证明了一个态射之间的计划或堆栈自然对应于一个对称monoidal函子之间的稳定无穷大范畴的拟凝聚复。它可以被看作是Tannaka对偶性的衍生类似物。由此，我们推出了一个满足一定条件的代数栈可以从准凝聚复形的稳定无穷范畴中通过张量运算恢复出来。
英文摘要：
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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