On quotients of affine superschemes over finite supergroups

A. N. Zubkov

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We consider an affine superscheme X over a field K, of characteristic that is different from 2, together with an action of a finite supergroup G on it. We prove that if G acts freely on X, then the sheaf quotient X/G̃ (with respect to fppf topology) is again an affine superscheme Y, where K[Y] ≃ K[X]G. Besides, K[X] is a finitely presented progenerator as a K[X]G-module.

Original languageEnglish
Pages (from-to)391-408
Number of pages18
JournalJournal of Algebra and its Applications
Volume10
Issue number3
DOIs
Publication statusPublished - Jun 2011
Externally publishedYes

Keywords

  • affine superscheme
  • free action
  • Hopf superalgebra
  • projective progenerator
  • sheaf quotient
  • Supergroup

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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