Algebraic Cycles and Additive Chow Groups
نویسنده
چکیده
A report on recent results and outstanding problems concerning additive chow groups. “Mighty oaks from little acorns grow.”
منابع مشابه
Algebraic Cycles and Additive Dilogarithm
For an algebraically closed field k of characteristic 0, we give a cycle-theoretic description of the additive 4-term motivic exact sequence associated to the additive dilogarithm of J.-L. Cathelineau, that is the derivative of the Bloch-Wigner function, via the cubical additive higher Chow groups under one assumption. The 4-term functional equation of Cathelineau, an additive analogue of the A...
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Let X ⊂ Pn+r be an n dimensional smooth complex projective complete intersection of type (d1, . . . , dr). CHr(X) denotes the Chow group of codimension r algebraic cycles on X modulo rational equivalence and Ar(X) denotes the subgroup of the codimension r algebraic cycles that are algebraically equivalent to zero. In 1990 James D. Lewis made a conjecture on the representability of Ar(X). We wil...
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