The localization theorem for framed motivic spaces
Hoyois, Marc
2021University of Regensburg Publication Server (University of Regensburg)24 citations
Abstract
We prove the analog of the Morel-Voevodsky localization theorem for framed motivic spaces. We deduce that framed motivic spectra are equivalent to motivic spectra over arbitrary schemes, and we give a new construction of the motivic cohomology of arbitrary schemes.
Topics & Concepts
MathematicsMotivic cohomologyPure mathematicsAlgebra over a fieldCohomologyEquivariant cohomologyDe Rham cohomologyAlgebraic Geometry and Number TheoryAdvanced Algebra and GeometryCommutative Algebra and Its Applications