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On finite dimensionality of Chow groups
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cylinder Homomorphisms and Chow Groups
Mathematische Nachrichten, 1993Abstract Let X be a projective algebraic manifold of dimension n (over C), CH 1 (X) the Chow group of algebraic cycles of codimension l
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2005
In this work we study the oriented Chow groups. These groups were defined by J. Barge et F. Morel in order to understand when a projective module P of top rank over a ring A has a free factor of rank one, i.e is isomorphic to Q ⊕ A. We show first that these groups satisfy the same functorial properties as the classical Chow groups.
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In this work we study the oriented Chow groups. These groups were defined by J. Barge et F. Morel in order to understand when a projective module P of top rank over a ring A has a free factor of rank one, i.e is isomorphic to Q ⊕ A. We show first that these groups satisfy the same functorial properties as the classical Chow groups.
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Motives and filtrations on Chow groups
Inventiones Mathematicae, 1996Let \(\text{CH}^r(X)\) 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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Chow groups and tubular neighbourhoods
Journal of Singularities, 2010We will prove theorems of Zariski-Lefschetz type for the analytic Chow groups of a quasi-projective variety. We will also derive an algebraic analogue, using formal instead of tubular neighbourhoods.
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Equivariant Chow groups and multiplicities
2008We propose a definition of equivariant Chow groups for schemes with a torus action and develop the intersection theory related to it. The equivariant intersection theories that have been considered in the past have been the Chow groups and the K-theory of the quotient scheme, as well as the equivariant K-groups of the original scheme.
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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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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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A semi-small decomposition of the Chow ring of a matroid
Advances in Mathematics, 2022Nicholas James Proudfoot +1 more
exaly
Regulators on Higher Chow Groups
2018There 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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