Equivariant class group. II. Enriched descent theorem
Commutative Algebra
2014-03-20 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1403.4724,
title = {Equivariant class group. II. Enriched descent theorem},
author = {Mitsuyasu Hashimoto},
journal= {arXiv preprint arXiv:1403.4724},
year = {2014}
}
Comments
37 pages