منابع مشابه
On the Infinitesimal Theory of Chow Groups
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Let X be a smooth projective variety over an algebraically closed field k of characteristic zero and Y ⊂ X a smooth ample hyperplane section. The Weak Lefschetz conjecture for Chow groups states that the natural restriction map CH(X)Q → CH(Y )Q is an isomorphism for all p < dim(Y )/2. In this note, we revisit a strategy introduced by Grothendieck to attack this problem by using the Bloch-Quille...
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A notion of additive dilogarithm for a field k is introduced, based on the K-theory and higher Chow groups of the affine line relative to 2(0). Analogues of the K2-regulator, the polylogarithm Lie algebra, and the `-adic realization of the dilogarithm motive are discussed. The higher Chow groups of 0-cycles in this theory are identified with the Kähler differential forms Ωk. It is hoped that th...
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2019
ISSN: 1056-3911,1534-7486
DOI: 10.1090/jag/746