Motivic homotopy theory of group scheme actions
Algebraic Topology
2015-10-19 v2 Algebraic Geometry
Abstract
We define an unstable equivariant motivic homotopy category for an algebraic group over a Noetherian base scheme. We show that equivariant algebraic -theory is representable in the resulting homotopy category. Additionally, we establish homotopical purity and blow-up theorems for finite abelian groups.
Keywords
Cite
@article{arxiv.1408.2348,
title = {Motivic homotopy theory of group scheme actions},
author = {Jeremiah Heller and Amalendu Krishna and Paul Arne Ostvaer},
journal= {arXiv preprint arXiv:1408.2348},
year = {2015}
}
Comments
Final version, to appear in Journal of Topology. arXiv admin note: text overlap with arXiv:1403.1915