Algebraically constructible functions
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
An algebraic version of Kashiwara and Schapira's calculus of constructible functions is used to describe local topological properties of real algebraic sets, including Akbulut and King's numerical conditions for a stratified set of dimension three to be algebraic. These properties, which include generalizations of the invariants modulo 4, 8, and 16 of Coste and Kurdyka, are defined using the link operator on the ring of constructible functions.
Keywords
Cite
@article{arxiv.alg-geom/9606004,
title = {Algebraically constructible functions},
author = {Clint McCrory and Adam Parusinski},
journal= {arXiv preprint arXiv:alg-geom/9606004},
year = {2008}
}
Comments
AMS-TeX v2.1, 25 pages