Base change of invariant subrings

Mitsuyasu Hashimoto

Research output: Contribution to journalArticle

Abstract

Let R be a Dedekind domain, G an affine flat R-group scheme, and B a flat R-algebra on which G acts. Let A → BG be an R-algebra map. Assume that A is Noetherian. We show that if the induced map K ⊗ A → (K ⊗ B)K⊗G is an isomorphism for any algebraically closed field K which is an R-algebra, then S ⊗ A → (S ⊗ B)S⊗G is an isomorphism for any R-algebra S.

Original languageEnglish
Pages (from-to)165-171
Number of pages7
JournalNagoya Mathematical Journal
Volume186
DOIs
Publication statusPublished - Jan 1 2007

ASJC Scopus subject areas

  • Mathematics(all)

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