Pure homology of algebraic varieties
Andrzej Weber
11 pages, (Topology Vol. 43, No 3, (2004) p. 635-644)
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.
Key words: Algebraic varieties, weight filtration,
intersection homology.