Algebraic K‐theory, A1‐homotopy and Riemann–Roch theorems

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
Format: Artikel
Sprache:eng ; jpn
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Zusammenfassung: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.
ISSN:1753-8416
1753-8424
DOI:10.1112/jtopol/jtq005