Algebraic K-theory, A^1-homotopy and Riemann-Roch theorems

Abstract

In this article, 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.

39 pages; minor changes (typos, references)

Cited by in corpus (15)

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• Motivic Pontryagin classes and hyperbolic orientations
• A Gersten complex on real schemes
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