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Motivic spectral sequence for relative homotopy K-theory

Motivic spectral sequence for relative homotopy K-theory

We construct a motivic spectral sequence for the relative homotopy invariant K-theory of a closed immersion of schemes D ⊂ X.The E 2 -terms of this spectral sequence are the cdhhypercohomology of a complex of equidimensional cycles.Using this spectral sequence, we obtain a cycle class map from the relative motivic …