Equivariant class group. II. Enriched descent theorem

• Hashimoto, Mitsuyasu

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.

Journal

• Communications in Algebra

  Communications in Algebra 45 (4), 1509-1532, 2016-10-07

  Taylor & Francis

Keywords

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

Details

• CRID: 1050283687676027648
• NII Article ID: 120006352348
• NII Book ID: AA00611371
• ISSN: 00927872
• Web Site: https://ousar.lib.okayama-u.ac.jp/55351
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles