Pure homology of algebraic varieties

Details Pure homology of algebraic varieties Pure homology of algebraic varieties

2003-02-27

arxiv.org/abs/math/0302340v2

Mathematics

Algebraic Geometry

Key words: Algebraic varieties, weight filtration, intersection homology. 12 pages. Final version. To appear in Topology

Scientific paper

We show that for a complete complex algebraic variety the pure component of
homology coincides with the image of intersection homology. Therefore pure
homology is topologically invariant. To obtain slightly more general results we
introduce "image homology" for noncomplete varieties.

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