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Pure homology of algebraic varieties

Andrzej Weber
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Abstract

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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Andrzej Weber. 2003-09-07. Pure homology of algebraic varieties. https://arxiv.org/abs/math/0302340

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