Monoidal infinity category of complexes from tannakian viewpoint
Monoidal infinity category of complexes from tannakian viewpoint
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从坦纳基观点来看复形的幺半无穷范畴
DOI：
10.1007/s00208-012-0843-8
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Hiroshi Fukuyama and Isamu Iwanari
中科院分区：
文献类型：
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作者：
Akiyasu Tomoeda;Tomoyuki Miyaji and Kota Ikeda;Satoru Fukasawa;Hiroshi Fukuyama and Isamu Iwanari
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函子之间的稳定范畴的拟凝聚复。它可以被看作是Tannaka对偶性的衍生类似物。因此，我们推出了一个代数堆栈满足一定的条件，可以恢复从对称monoidal稳定范畴的拟凝聚复形张量操作。
In this paper we prove that a morphism between schemes or stacks naturally corresponds to a symmetric monoidal functor between stable-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-category of quasi-coherent complexes with tensor operation.