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Complex monodromy and the topology of real algebraic sets

Clint McCrory·Adam Parusinski
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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.

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Clint McCrory, Adam Parusinski. 1994-07-19. Complex monodromy and the topology of real algebraic sets. https://arxiv.org/abs/alg-geom/9407011

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