Cdh Descent in Equivariant Homotopy -Theory
Marc HoyoisFakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
We construct geometric models for classifying spaces of linear algebraic groups in -equivariant motivic homotopy theory, where is a tame group scheme. As a consequence, we show that the equivariant motivic spectrum representing the homotopy -theory of -schemes (which we construct as an -ring) is stable under arbitrary base change, and we deduce that the homotopy -theory of -schemes satisfies cdh descent.
Cite this article
Marc Hoyois, Cdh Descent in Equivariant Homotopy -Theory. Doc. Math. 25 (2020), pp. 457–482DOI 10.4171/DM/754