Deformations of polynomials, boundary singularities and monodromy

2002/07/09 by Dirk Siersma, Mihai Tibar
Mathematics · #math.AG #math.CV #msc:32S30 #msc:14D05 #msc:32S40 #msc:58K60 #msc:14B07 #msc:58K10 #msc:55R55

paper · pdf

published as Moscow Math. Journal, 3, 2 (2003), 661-679. · 21 pag., amslatex, 4 fig

arxiv created 2002/07/09 · arxiv updated 2009/11/30

Abstract

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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