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K 2-Cohomology and the second Chow group

open access: yesMathematische Annalen, 1985
Nach den bahnbrechenden Ergebnissen von \textit{A. S. Merkur'ev} und \textit{A. A. Suslin} [Math. USSR, Izv. 21, 307--340 (1983); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 46, No. 5, 1011--1046 (1982; Zbl 0525.18008)] und \textit{A. A. Suslin} [``Torsion in \(K_2\) of fields'', LOMI preprint (1982); see also K-Theory 1, No.
Jean-Louis Colliot-Thelene
exaly   +3 more sources
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On finite dimensionality of Chow groups

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Chow Groups of Supersingular Varieties

Canadian Mathematical Bulletin, 2002
AbstractWe compute the rational Chow groups of supersingular abelian varieties and some other related varieties, such as supersingular Fermat varieties and supersingular K3 surfaces. These computations are concordant with the conjectural relationship, for a smooth projective variety, between the structure of Chow groups and the coniveau filtration on ...
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Cylinder Homomorphisms and Chow Groups

Mathematische Nachrichten, 1993
AbstractLet X be a projective algebraic manifold of dimension n (over C), CH1(X) the Chow group of algebraic cycles of codimension l on X, modulo rational equivalence, and A1(X) ⊂ CH1(X) the subgroup of cycles algebraically equivalent to zero. We say that A1(X) is finite dimensional if there exists a (possibly reducible) smooth curve T and a cycle z ...
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Motives and filtrations on Chow groups

Inventiones Mathematicae, 1996
Let \(\text{CH}^r(X)\) be the Chow group of algebraic cycles of codimension \(r\) on a smooth complex projective algebraic variety \(X\). According to a conjecture of A. Beilinson and S. Bloch, there should exist a filtration \(\text{CH}^r(X) = F_{\mathcal M}^0\supset \ldots F_{\mathcal M}^\nu\supset\ldots\) which satisfies the following conditions: (1)
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Groupes de Chow-Witt

Mémoires de la Société mathématique de France, 2008
Dans ce travail, nous etudions les groupies de Chow- Witt. Ces groupes ont ete introduits par J. Barge et F. Morel dans le but de comprendre dans quelle situation un A-module projectif P de rang egal a la dimension de A est isomorphe a un module projectif plus simple Q ⊕ A.
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Regulators on Higher Chow Groups

2018
There are two natural questions one can ask about the higher Chow group of number fields: One is its torsion, the other one is its relation with the homology of GLn. For the first question, based on some earlier work, the integral regulator on higher Chow complexes introduced here can put a lot of earlier result on a firm ground.
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Computing chow groups

1988
F. Rosselló Llompart   +1 more
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