Variants
Chow groups have been extended to higher Chow groups; paralleling the extension of K0 (zeroth algebraic K-theory) by higher algebraic K-theory.
Arithmetic Chow groups are an amalgamation of Chow groups of varieties over Q together with a component encoding Arakelov-theoretical information, that is to say, information related to the associated complex manifold.
Read more about this topic: Chow Ring
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