Monoidal Infinity Category of Complexes from Tannakian Viewpoint

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.

final version

References in corpus (4)

• Higher Topos Theory
• Derived Algebraic Geometry III: Commutative Algebra
• Tannaka Duality for Geometric Stacks
• Homotopical and Higher Categorical Structures in Algebraic Geometry

Cited by in corpus (1)

• Tannaka duality over ring spectra