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arxiv: 2311.04515 · v1 · pith:S6SY5BVCnew · submitted 2023-11-08 · 🧮 math.AG · math.AT· math.CT

Tannaka duality and 1-affineness

Germ\'an Stefanich This is my paper
classification 🧮 math.AG math.ATmath.CT
keywords affinenesscategoriesdualitysheavestannakaappliedconsequencededuce
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We show that Lurie's results on Tannaka duality for geometric stacks hold without any tameness hypotheses. We deduce this as a consequence of an affineness theorem in the theory of sheaves of categories. This affineness result is also applied to the study of tensor product and integral transform formulas for categories of quasicoherent sheaves.

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