Real deformations and complex topology of plane curve singularities

Norbert A'Campo

Real deformations and complex topology of plane curve singularities

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arxiv alg-geom/9710023 v2 pith:GV53ZBDV submitted 1997-10-20 alg-geom math.AG

Norbert A'Campo This is my paper · ORCID

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keywords realcomplexcurveplanetopologyaddedbranchescomputation

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This is the paper as published. The topology of a complex plane curve singularity with real branches is deduced from any real deformation having delta crossings. An example of the computation of the global geometric monodromy of a polynomial mapping is added.

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Real morsifications via the trace map
math.AG 2026-08 accept novelty 8.0 of 10

Every reduced real plane curve singularity is shown to admit a real morsification, via a new trace map built from nodal smoothings of normalization disks.

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