Motivic homotopy theory of group scheme actions

Published 11 Aug 2014 in math.AT and math.AG | (1408.2348v2)

Abstract: 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.

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