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Tannaka Duality for Geometric Stacks

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arxiv math/0412266 v2 pith:NAP2XU3B submitted 2004-12-14 math.AG

Jacob Lurie This is my paper · ORCID
classification math.AG
keywords algebraiccoherentsheavesanalyticapplicationappropriatecategorycomplex
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We show that, under appropriate hypothesis, the groupoid of maps from S to an an algebraic stack X can be identified with a category of tensor functors from coherent sheaves on X to coherent sheaves on S. As an application, we show that if S is a proper variety over the field of complex numbers, then every ``analytic'' map from S to X is ``algebraic''.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Some terminal orders on 3-folds

    math.AG 2026-07 accept novelty 7.0 of 10

    First non-trivial terminal local orders in dimension three are constructed as maximal orders with toric ramification data and as deformed symbols ramified on Kleinian singularities.

  2. A Classification of Six Functor Formalisms via Structured Spaces

    math.AT 2025-07 reject novelty 5.0 of 10

    The paper introduces 'suprematic spaces' and claims a fully faithful classification of certain six functor formalisms plus a universal factorization through animated S-stacks.

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