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Exterior products of zero-cycles
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Matt Kerr
Published/Copyright:
November 20, 2006
Abstract
We study the exterior product 
on 0-cycles modulo rational equivalence. The main tools used are higher cycle- and Abel-Jacobi-classes developed in [J. Lewis, A filtration on the Chow groups of a complex projective variety, Compos. Math. 128 (2001), no. 3, 299–322.] and [M. Kerr, Higher Abel-Jacobi maps for 0-cycles, preprint, math.AG/0504086.]. The theorem of [A. Rosenschon and M. Saito, Cycle map for strictly decomposable cycles, Amer. J. Math. 125 (2003), no. 4, 773–790.] (applied to 0-cycles) appears as a special case of our results.
Received: 2005-04-06
Revised: 2005-09-22
Published Online: 2006-11-20
Published in Print: 2006-11-01
© Walter de Gruyter
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- Exterior products of zero-cycles
- Harmonic analysis on totally disconnected groups and irregularities of point distributions
- Relative cyclic homology of square zero extensions
- Weighted Fano threefold hypersurfaces
- Surfaces expanding by the inverse Gauß curvature flow
- Symplectic singularities from the Poisson point of view
- Multiplicative rule in the Grothendieck cohomology of a flag variety
- Generalized double affine Hecke algebras of higher rank
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Articles in the same Issue
- Exterior products of zero-cycles
- Harmonic analysis on totally disconnected groups and irregularities of point distributions
- Relative cyclic homology of square zero extensions
- Weighted Fano threefold hypersurfaces
- Surfaces expanding by the inverse Gauß curvature flow
- Symplectic singularities from the Poisson point of view
- Multiplicative rule in the Grothendieck cohomology of a flag variety
- Generalized double affine Hecke algebras of higher rank
- Defining relations of the tame automorphism group of polynomial algebras in three variables
