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

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.

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Veröffentlicht in:Journal of topology 2010, Vol.3 (2), p.229-264
1. Verfasser: Riou, Joël
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1753-8416
1753-8424
DOI:10.1112/jtopol/jtq005