Deformations of singularities of plane curves. Topological approach

Details Deformations of singularities of plane curves. Topological approach Deformations of singularities of plane curves. Topological approach

2009-07-23

arxiv.org/abs/0907.4129v3

Mathematics

Algebraic Geometry

7 pages. Last part rewritten for better readability (hopefully)

Scientific paper

We use a knot invariant, namely the Tristram--Levine signature to study
deformations of singular points of plane curves. We find a bound on the sum of
M numbers over all singularities of a generic fiber in terms of the M number of
the singularity at the central fiber and some topological data.

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