Coherent Tannaka duality and algebraicity of Hom-stacks

Abstract

We establish Tannaka duality for noetherian algebraic stacks with affine stabilizer groups. Our main application is the existence of Hom-stacks in great generality.

41 pages; various improvements; quasi-separatedness of Hom-stack (Appendix B); more counter-examples (Section 10); former Appendix B is now in arXiv:1606.08517; some corrections and improvements

References in corpus (5)

• Perfect complexes on algebraic stacks
• Approximation of sheaves on algebraic stacks
• Moduli of morphisms of logarithmic schemes
• Tannaka duality and stable infinity-categories
• Which abelian tensor categories are geometric?

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• Quasimaps to moduli spaces of sheaves
• The Moduli of Sections Has a Canonical Obstruction Theory
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