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arXiv · 0807.4203

The weight filtration for real algebraic varieties

Clint McCrory·Adam Parusinski
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Abstract

Using the work of Guillen and Navarro Aznar 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 Borel-Moore homology with Z/2 coefficients an analog of the weight filtration for complex algebraic varieties.

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Clint McCrory, Adam Parusinski. 2009-03-17. The weight filtration for real algebraic varieties. https://arxiv.org/abs/0807.4203

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