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.
Real deformations and complex topology of plane curve singularities
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abstract
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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math.AG 1years
2026 1verdicts
ACCEPT 1representative citing papers
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Real morsifications via the trace map
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.