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arXiv · 2301.06994

Complements of discriminants of real singularities of type $X_{10}$

Victor A. Vassiliev
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Abstract

A conjecturally complete list of connected components of complements of discriminant varieties (aka wave fronts) of smooth function singularities of type $X_{10}^3$ and $X_{10}^1$ is presented; it are the first examples of not semi-quasihomogeneous plane function singularities. It is shown that the complements of discriminants of singularities of classes $X_9^{\pm}$ and $X_{10}^1$ have non-trivial 1-dimensional homology groups, in contrast to all simple singularity classes.

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Victor A. Vassiliev. 2023-01-17. Complements of discriminants of real singularities of type $X_{10}$. https://arxiv.org/abs/2301.06994

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