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Singularity Exchange at the Frontier of the Space

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Real and Complex Singularities

Part of the book series: Trends in Mathematics ((TM))

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Abstract

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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© 2006 Birkhäuser Verlag Basel/Switzerland

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Siersma, D., Tibăr, M. (2006). Singularity Exchange at the Frontier of the Space. In: Brasselet, JP., Ruas, M.A.S. (eds) Real and Complex Singularities. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7776-2_23

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