The weight filtration for real algebraic varieties

Details The weight filtration for real algebraic varieties The weight filtration for real algebraic varieties

2008-07-26

arxiv.org/abs/0807.4203v2

Topology of Stratified Spaces, MSRI Publ. 58, Cambridge U. Press, New York 2011, 121-160

Mathematics

Algebraic Geometry

29 pages. Improved discussions: weight spectral sequence (Proposition 1.8), Nash constructible functions (Theorem 3.4). New se

Scientific paper

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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