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Algebraic <i>K</i> -theory, <b>A</b> <sup>1</sup> -homotopy and Riemann-Roch theorems

Algebraic <i>K</i> -theory, <b>A</b> <sup>1</sup> -homotopy and Riemann-Roch theorems

In this paper, we show that the combination of the constructions done in SGA 6 and the A1-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.