Singularity exchange at the frontier of the space

Details Singularity exchange at the frontier of the space Singularity exchange at the frontier of the space

2004-01-28

arxiv.org/abs/math/0401396v2

Real and Complex Singularities. Trends in Mathematics, pp. 327-342, Birkhauser Verlag 2006.

Mathematics

Algebraic Geometry

small editings, title changed

Scientific paper

In deformations of polynomial functions one may encounter ``singularity exchange at infinity'' when singular points disappear from the space and produce ``virtual'' singularities which have an influence on the topology of the limit polynomial. We find several rules of this exchange phenomenon, in which the total quantity of singularity turns out to be not conserved in general.

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