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arxiv: 1403.4724 · v1 · pith:W7OH2BCGnew · submitted 2014-03-19 · 🧮 math.AC · math.AG

Equivariant class group. II. Enriched descent theorem

classification 🧮 math.AC math.AG
keywords bundlefiberprincipalclassdescentenrichedequivariantgroup
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We prove a version of Grothendieck's descent theorem on an `enriched' principal fiber bundle, a principal fiber bundle with an action of a larger group scheme. Using this, we prove the isomorphisms of the equivariant Picard and the class groups arising from such a principal fiber bundle.

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