منابع مشابه
Chow groups of Zero-Cycles Relative to Hyperplane Arrangements
The schemes Spec (k[x0, . . . , xn]/( P xi − 1)) were used homologically by Bloch to define higher Chow groups. We prove an alternate, ‘classical’, characterization of higher Chow groups, in the zero-cycle case over a field k, in terms of divisors of functions on curves. Since an arrangement of hyperplanes A is given by a finite number of linear forms on affine space, such as the n + 1 forms xi...
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 کاملHigher Arithmetic Chow Groups
We give a new construction of higher arithmetic Chow groups for quasi-projective arithmetic varieties over a field. Our definition agrees with the higher arithmetic Chow groups defined by Goncharov for projective arithmetic varieties over a field. These groups are the analogue, in the Arakelov context, of the higher algebraic Chow groups defined by Bloch. The degree zero group agrees with the a...
متن کاملTensor Triangular Chow Groups
We propose a definition of the Chow group of a rigid tensor triangulated category. The basic idea is to allow “generalized” cycles, with nonintegral coefficients. The precise choice of relations is open to some fine-tuning. Hypothesis 1. Let K be an essentially small tensor triangulated category. Let us assume that its triangular spectrum in the sense of [1], Spc(K) = { P ⊂ K ∣∣P is prime}, is ...
متن کاملRelative cycles and Chow sheaves
3 Relative cycles. 15 3.1 Relative cycles. . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.2 Cycles associated with flat subschemes. . . . . . . . . . . . . . 20 3.3 Chow presheaves. . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.4 Relative cycles over geometrically unibranch schemes. . . . . . 32 3.5 Multiplicities of components of inverse images of equidimensional cycles over...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1991
ISSN: 0019-2082
DOI: 10.1215/ijm/1255987675