Lawson homology, morphic cohomology and Chow motives

Details Lawson homology, morphic cohomology and Chow motives Lawson homology, morphic cohomology and Chow motives

2007-11-04

arxiv.org/abs/0711.0383v1

Mathematics

Algebraic Geometry

34 pages

Scientific paper

In this paper, the Lawson homology and morphic cohomology are defined on the Chow motives. We also define the rational coefficient Lawson homology and morphic cohomology of the Chow motives of finite quotient projective varieties. As a consequence, we obtain a formula for the Hilbert scheme of points on a smooth complex projective surface. Further discussion concerning generic finite maps is given. As a result, we give examples of self-product of smooth projective curves with nontrivial Griffiths groups by using a result of Ceresa.

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