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Cdh descent in equivariant homotopy K-theory

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arxiv 1604.06410 v4 pith:J2Z5IKNE submitted 2016-04-21 math.KT math.AGmath.AT

Marc Hoyois This is my paper · ORCID
classification math.KTmath.AGmath.AT
keywords homotopyk-theoryconstructdescentequivariantg-schemesmotivicalgebraic
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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 homotopy K-theory of G-schemes satisfies cdh descent.

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Cited by 1 Pith paper

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  1. The unit map of the algebraic special linear cobordism spectrum

    math.KT 2019-08 accept novelty 6.0 of 10

    Over characteristic 0 fields, the unit map from the motivic sphere spectrum to the special linear cobordism spectrum MSL is an isomorphism on homotopy modules, proven by comparing framed and SL-oriented framed corresp...

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