Equivariant class group. II. Enriched descent theorem

Abstract

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.

37 pages

References in corpus (2)

• Equivariant class group. I. Finite generation of the Picard and the class groups of an invariant subring
• Equivariant Matlis and the local duality