Pure homology of algebraic varieties

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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. 12 pages. Final version. To appear in Topology

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Algebraic Geometry, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/66645

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302340
 http://arxiv.org/abs/math/0302340

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arXiv