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Relation between Chow groups and K theory

I am reading about Chow groups and algebraic K-theory of schemes. I get to know that for smooth schemes the re is a strongly convergent spectral sequence $$E_2^{p,q} = CH^{-q}(X,-p-q) \implies K_{-p-q}...
KAK's user avatar
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3 votes
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914 views

Relations between rational algebraic K-theory and Chow groups

A consequence of Grothendieck's Riemann-Roch Theorem is the fact that the Chern character induces an isomorphism between algebraic $ch: K_{0}(X) \otimes \mathbb{Q} \stackrel{\cong}{\rightarrow} C H^{*...
Zhiyu's user avatar
  • 6,622
2 votes
1 answer
387 views

Zero-cycles on an arithmetic surface

Could anyone give a reference for the following statement, which I believe is true. "Let X be a regular scheme, flat over $Spec( \mathbb{Z}) $, with fiber dimension $1$. Then the Chow group $CH^2(X)$ ...
Andreas Holmstrom's user avatar