Algebraic K‐theory, A1‐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.

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Veröffentlicht in:	Journal of topology 2010, Vol.3 (2), p.229-264
1. Verfasser:	Riou, Joël
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Sprache:	eng ; jpn
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creator	Riou, Joël
description	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.
doi_str_mv	10.1112/jtopol/jtq005
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title	Algebraic K‐theory, A1‐homotopy and Riemann–Roch theorems
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