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arXiv · 1408.2348

Motivic homotopy theory of group scheme actions

Jeremiah Heller·Amalendu Krishna·Paul Arne Ostvaer
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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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Jeremiah Heller, Amalendu Krishna, Paul Arne Ostvaer. 2014-08-11. Motivic homotopy theory of group scheme actions. https://arxiv.org/abs/1408.2348

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