منابع مشابه
Chow Polylogarithms and Regulators
where r denotes the cross-ratio. In this note we show that the Bloch-Wigner function can be naturally extended to the (infinite dimensional) variety of all algebraic curves in CP 3 which are in sufficiently general position with respect to a given simplex L. (By definition a simplex in CP 3 is a collection of 4 hyperplanes in generic position). We call the corresponding function the Chow diloga...
متن کاملPolylogarithms, regulators, and Arakelov motivic complexes
We construct an explicit regulator map from Bloch’s Higher Chow group complex to the Deligne complex of a complex algebraic variety X . We define the Arakelov motivic complex as the cone of this map shifted by one. Its last cohomology group is (a version of) the Arakelov Chow group defined by H. Gillet and C. Soule. We relate the Grassmannian n–logarithms (defined as in [G5]) to the geometry of...
متن کاملRegulators on Additive Higher Chow Groups
As an attempt to understand motives over k[x]/(xm), we define the cubical additive higher Chow groups with modulus for all dimensions extending the works of S. Bloch, H. Esnault and K. Rülling on 0-dimensional cycles. We give an explicit construction of regulator maps on the groups of 1-cycles with an aid of the residue theory of A. Parshin and V. Lomadze.
متن کاملChow Groups, Chow Cohomology, and Linear Varieties
We compute the Chow groups and Fulton–MacPherson’s operational Chow cohomology ring for a class of singular rational varieties including toric varieties. The computation is closely related to the weight filtration on the ordinary cohomology of these varieties. We use the computation to answer one of the open problems about operational Chow cohomology: it does not have a natural map to ordinary ...
متن کاملChow Quotients and Euler - Chow Series
Given a projective algebraic variety X, let p(X) denote the monoid of eeective algebraic equivalence classes of eeective algebraic cycles on X. The p-th Euler-Chow series of X is an element in the formal monoid-ring Z p(X)] ] deened in terms of Euler characteristics of the Chow varieties Cp;; (X) of X, with 2 p(X). We provide a systematic treatment of such series, and give projective bundle for...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1995
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1995.v2.n1.a9