McCrory, Clint; Parusiński, Adam Complex monodromy and the topology of real algebraic sets. (English) Zbl 0949.14037 Compos. Math. 106, No. 2, 211-233 (1997). Summary: A relation between the Euler characteristics of the Milnor fibres of a real analytic function is derived from a simple identity involving complex monodromy and complex conjugation. A corollary is the result of M. Coste and K. Kurdyka [Topology 31, No. 2, 323-336 (1992; Zbl 0787.14038)] that the Euler characteristic of the local link of an irreducible algebraic subset of a real algebraic set is generically constant modulo 4. A similar relation for iterated Milnor fibres of ordered sets of functions is used to define topological invariants of ordered collections of algebraic subsets. Cited in 8 Documents MSC: 14P25 Topology of real algebraic varieties 32S50 Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants 14F45 Topological properties in algebraic geometry Keywords:real algebraic set; monodromy; Euler characteristic; link; Milnor fibres Citations:Zbl 0787.14038 PDFBibTeX XMLCite \textit{C. McCrory} and \textit{A. Parusiński}, Compos. Math. 106, No. 2, 211--233 (1997; Zbl 0949.14037) Full Text: DOI arXiv