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Tannaka duality on quotient stacks

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Publication:818802
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DOI10.1007/s00229-005-0616-8zbMath1094.14002OpenAlexW1989785135MaRDI QIDQ818802

Valentin Savin

Publication date: 21 March 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-005-0616-8


zbMATH Keywords

vector bundlesduality theoryalgebraic stackstensor categoriesschemeGrothendieck topologiesTannakian categoriesfibered categoriesgroup actions on schemes


Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Algebraic moduli problems, moduli of vector bundles (14D20) Fibered categories (18D30) Étale and other Grothendieck topologies and (co)homologies (14F20) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Generalizations (algebraic spaces, stacks) (14A20)


Related Items (3)

Monoidal infinity category of complexes from Tannakian viewpoint ⋮ Tannaka duality revisited ⋮ Coherent Tannaka duality and algebraicity of Hom-stacks



Cites Work

  • Hodge cycles, motives, and Shimura varieties
  • Deformations of the moduli space of vector bundles over an algebraic curve
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