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Motivic homotopy theory of group scheme actions
Author(s) -
Heller Jeremiah,
Krishna Amalendu,
Østvær Paul Arne
Publication year - 2015
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jtv030
Subject(s) - mathematics , equivariant map , scheme (mathematics) , noetherian , homotopy group , pure mathematics , homotopy category , homotopy , abelian group , group (periodic table) , n connected , algebra over a field , algebraic number , homotopy lifting property , mathematical analysis , chemistry , organic chemistry
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.