The weight filtration for real algebraic varieties
Algebraic Geometry
2012-02-15 v2
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.
Cite
@article{arxiv.0807.4203,
title = {The weight filtration for real algebraic varieties},
author = {Clint McCrory and Adam Parusinski},
journal= {arXiv preprint arXiv:0807.4203},
year = {2012}
}
Comments
29 pages. Improved discussions: weight spectral sequence (Proposition 1.8), Nash constructible functions (Theorem 3.4). New section on virtual Poincare polynomial (section 4.1)