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Journal ArticleDOI

Fractional intersection and bivariant theory

Kimura Shun-ichi
- 01 Jan 1992 - 
- Vol. 20, Iss: 1, pp 285-302
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TLDR
In this article, the fractional intersection and bivariant theory of fractional intersections are studied. But they do not consider the relation between the intersection and the bivariance.
Abstract
(1992). Fractional intersection and bivariant theory. Communications in Algebra: Vol. 20, No. 1, pp. 285-302.

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Cycle groups for Artin stacks

TL;DR: In this paper, an algebraic homology functor for Artin stacks of finite type over a field was constructed, and intersection-theoretic properties of the functor were developed.
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Equivariant intersection theory

TL;DR: In this article, an equivariant intersection theory for actions of algebraic groups on algebraic schemes is developed, which is based on the construction of Equivariant Chow groups, which satsify the formal properties of ordinary Chow groups.
Journal ArticleDOI

Chow groups are finite dimensional, in some sense

TL;DR: In this paper, the authors proposed a new definition of finite dimensionality for Chow groups and proved that the Chow group of a surface S with p ≥ 0 becomes finite dimensional if the Chow motive of S is finite dimensional.
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Descent, motives and K-theory.

References
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Journal ArticleDOI

The topology of normal singularities of an algebraic surface and a criterion for simplicity

TL;DR: In this paper, the authors implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).
Journal Article

Alexander duality in intersection theory

TL;DR: In this article, the conditions générales d'utilisation (http://www.compositio.org/conditions) of the agreement with the Foundation Compositio Mathematica are described.
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