start-ver=1.4 cd-journal=joma no-vol=45 cd-vols= no-issue=4 article-no= start-page=1509 end-page=1532 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=20161007 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Equivariant class group. II. Enriched descent theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract= We prove a version of Grothendieckfs descent theorem on an eenrichedf 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. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=Class group kn-keyword=Class group en-keyword=descent theory kn-keyword=descent theory en-keyword=Picard group kn-keyword=Picard group en-keyword=principal fiber bundle kn-keyword=principal fiber bundle END