The weight filtration for real algebraic varieties II: Classical homology
Algebraic Geometry
2017-01-16 v2
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.
Keywords
Cite
@article{arxiv.1202.3129,
title = {The weight filtration for real algebraic varieties II: Classical homology},
author = {Clint McCrory and Adam Parusinski},
journal= {arXiv preprint arXiv:1202.3129},
year = {2017}
}
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32 pages