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arxiv: 0907.2710 · v2 · pith:S2ENSFVFnew · submitted 2009-07-15 · 🧮 math.KT · math.AG

Algebraic K-theory, A¹-homotopy and Riemann-Roch theorems

classification 🧮 math.KT math.AG
keywords algebraick-theoryhomotopyriemann-rochtheoremsappliesarticlecharacters
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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.

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