Virtual Betti numbers of real algebraic varieties
Algebraic Geometry
2012-02-15 v1
Abstract
The weak factorization theorem for birational maps is used to prove that for all nonnegative i the ith mod 2 Betti number of compact nonsingular real algebraic varieties has a unique extension to a "virtual Betti number" beta_i defined for all real algebraic varieties, such that if Y is a closed subvariety of X, then beta_i(X) = beta_i(X\Y) + beta_i(Y).
Keywords
Cite
@article{arxiv.math/0210374,
title = {Virtual Betti numbers of real algebraic varieties},
author = {Clint McCrory and Adam Parusinski},
journal= {arXiv preprint arXiv:math/0210374},
year = {2012}
}
Comments
13 pages. Talk by first author, AMS meeting, Northeastern University, October 5-6, 2002