Motivic homotopy theory of group scheme actions

Jeremiah Heller, Amalendu Krishna, Paul Arne Østvær

Research output: Contribution to journalArticlepeer-review


We define an unstable equivariant motivic homotopy category for an algebraic group over a Noetherian base scheme. We show that equivariant algebraic K-theory is representable in the resulting homotopy category. Additionally, we establish homotopical purity and blow-up theorems for finite abelian groups.

Original languageEnglish (US)
Pages (from-to)1202-1236
Number of pages35
JournalJournal of Topology
Issue number4
StatePublished - Jun 5 2014

ASJC Scopus subject areas

  • Geometry and Topology


Dive into the research topics of 'Motivic homotopy theory of group scheme actions'. Together they form a unique fingerprint.

Cite this