Semi-topological cycle theory I

Details Semi-topological cycle theory I Semi-topological cycle theory I

2010-01-14

arxiv.org/abs/1001.2355v2

Mathematics

Algebraic Geometry

11 pages

Scientific paper

We study algebraic varieties parametrized by topological spaces and enlarge the domains of Lawson homology and morphic cohomology to this category. We prove a Lawson suspension theorem and splitting theorem. A version of Friedlander-Lawson moving is obtained to prove a duality theorem between Lawson homology and morphic for smooth semi-topological projective varieties. K-groups for semi-topological projective varieties and Chern classes are also constructed.

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