Equivariant class group. II. Enriched descent theorem

Mitsuyasu Hashimoto

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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.

Original languageEnglish
Pages (from-to)1509-1532
Number of pages24
JournalCommunications in Algebra
Volume45
Issue number4
DOIs
Publication statusPublished - Apr 3 2017

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Keywords

  • Class group
  • descent theory
  • Picard group
  • principal fiber bundle

ASJC Scopus subject areas

  • Algebra and Number Theory

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