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arXiv · 1202.3129

The weight filtration for real algebraic varieties II: Classical homology

Clint McCrory·Adam Parusinski
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Abstract

We associate to each real algebraic variety a filtered chain complex, the weight complex, which is well-defined up to filtered quasi-isomorphism, and which induces on classical (compactly supported) homology with Z/2 coefficients an analog of the weight filtration for complex algebraic varieties. This complements our previous definition of the weight filtration of Borel-Moore homology.

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Clint McCrory, Adam Parusinski. 2012-02-14. The weight filtration for real algebraic varieties II: Classical homology. https://arxiv.org/abs/1202.3129

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