SU\G(š”ø)/KĀ·U

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Equivariant class group. II. Enriched descent theorem

Equivariant class group. II. Enriched descent theorem

We prove a version of Grothendieckā€™s descent theorem on an ā€˜enrichedā€™ 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.