Conjecturally complete lists of connected components for complements of discriminants of X10 singularities are given, with non-trivial 1D homology shown for X9± and X10^1 classes.
Vassiliev, Complements of discriminants of real parabolic function si ngularities, Moscow Math
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Complements of discriminants of real singularities of type $X_{10}$
Conjecturally complete lists of connected components for complements of discriminants of X10 singularities are given, with non-trivial 1D homology shown for X9± and X10^1 classes.