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In this paper, we show that the combination of the constructions done in SGA 6 and the  A  1 ‐homotopy theory naturally leads to results on higher algebraic  K ‐theory. This applies to the operations on algebraic  K ‐theory, Chern characters and Riemann–Roch theorems.

Algebraic K ‐theory, A 1 ‐homotopy and Riemann–Roch theorems