The weight filtration for real algebraic varieties II: Classical homology

Details The weight filtration for real algebraic varieties II: Classical homology The weight filtration for real algebraic varieties II: Classical homology

2012-02-14

arxiv.org/abs/1202.3129v1

Mathematics

Algebraic Geometry

31 pages

Scientific paper

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 on Borel-Moore homology.

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