Equivariant class group. II. Enriched descent theorem

Mitsuyasu Hashimoto

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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
Issue number4
Publication statusPublished - Apr 3 2017


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

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Equivariant class group. II. Enriched descent theorem'. Together they form a unique fingerprint.

Cite this