منابع مشابه
Algebraic Cycles
This article is based on a talk given by V. Srinivas at the MRI, Allahabad. We give an account of the theory of algebraic cycles where the stress is not on the spate of conjectures (Hodge, Tate, Grothendieck, Bloch-Beilinson, etc.) that define the picture of this theory today, but rather on the key examples that refined and delineated this picture. Some of the deepest aspects of the theory of a...
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Let L/F be a finite separable field extension of degree n, X a smooth quasi-projective L-scheme, and R(X) the Weil transfer of X with respect to L/F . The map Z 7→ R(Z) of the set of simple cycles Z ⊂ X extends in a natural way to a map Z(X) → Z(R(X)) on the whole group of algebraic cycles Z(X). This map factors through the rational equivalence of cycles and induces this way a map of the Chow g...
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We apply the classical technique on cyclic objects of Alain Connes to various objects, in particular to the higher Chow complex of S. Bloch to prove a Connes periodicity long exact sequence involving motivic cohomology groups. The Cyclic higher Chow groups and the Connes higher Chow groups of a variety are defined in the process and various properties of them are deduced from the known properti...
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Let W be a q-dimensional irreducible algebraic subvariety in the affine space AC, P1, ..., Pm m elements in C[X1, ..., Xn], and V (P ) the set of common zeros of the Pj ’s in Cn. Assuming that |W | is not included in V (P ), one can attach to P a family of non trivial W -restricted residual currents in ′D0,k(Cn), 1 ≤ k ≤ min(m, q), with support on |W |. These currents (constructed following an ...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2017
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2017.v19.n1.a7