Equivariant class group. II. Enriched descent theorem

Mitsuyasu Hashimoto

doi:10.1080/00927872.2016.1178270

Equivariant class group. II. Enriched descent theorem

Mitsuyasu Hashimoto

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	1509-1532
Number of pages	24
Journal	Communications in Algebra
Volume	45
Issue number	4
DOIs	https://doi.org/10.1080/00927872.2016.1178270
Publication status	Published - Apr 3 2017

Keywords

Class group
Picard group
descent theory
principal fiber bundle

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2016.1178270

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AB - 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.

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Equivariant class group. II. Enriched descent theorem

Abstract

Keywords

ASJC Scopus subject areas

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