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arxiv: math/0207076 · v1 · submitted 2002-07-09 · 🧮 math.AG · math.CV

Deformations of polynomials, boundary singularities and monodromy

classification 🧮 math.AG math.CV
keywords boundaryinfinitysingularitiestopologyalongcertaindeformationsdeforming
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We study the topology of polynomial functions by deforming them generically. We explain how the non-conservation of the total ``quantity'' of singularity in the neighbourhood of infinity is related to the variation of topology in certain families of boundary singularities along the hyperplane at infinity.

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