CDH DESCENT IN EQUIVARIANT HOMOTOPY K -THEORY

Hoyois, Marc (2020) CDH DESCENT IN EQUIVARIANT HOMOTOPY K -THEORY. DOCUMENTA MATHEMATICA, 25. pp. 457-482. ISSN 1431-0643,

Full text not available from this repository. (Request a copy)

Abstract

We construct geometric models for classifying spaces of linear algebraic groups in G-equivariant motivic homotopy theory, where G is a tame group scheme. As a consequence, we show that the equivariant motivic spectrum representing the homotopy K-theory of G-schemes (which we construct as an E-infinity-ring) is stable under arbitrary base change, and we deduce that the homotopy K-theory of G-schemes satisfies cdh descent.

Item Type: Article
Uncontrolled Keywords: ; Algebraic K-theory; algebraic stacks
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Marc Hoyois
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Apr 2021 08:10
Last Modified: 06 Apr 2021 08:10
URI: https://pred.uni-regensburg.de/id/eprint/45388

Actions (login required)

View Item View Item