Complex monodromy and the topology of real algebraic sets
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We study the Euler characteristic of the real Milnor fibres of a real analytic map, using a relation between complex monodromy and complex conjugation. We deduce the result of Coste and Kurdyka that the Euler characteristic of the link of an irreducible algebraic subset of a real algebraic set is generically constant modulo 4. We generalize this result to iterated links of ordered families of algebraic subsets.
Cite
@article{arxiv.alg-geom/9407011,
title = {Complex monodromy and the topology of real algebraic sets},
author = {Clint McCrory and Adam Parusinski},
journal= {arXiv preprint arXiv:alg-geom/9407011},
year = {2008}
}
Comments
17 pages, AMSppt, University of Sydney Pure Mathematics Research Reports (1994)