English

Complements of discriminants of real parabolic function singularities

Algebraic Geometry 2023-08-29 v3

Abstract

A (conjecturally complete) list of components of complements of discriminant varieties of parabolic singularities of smooth real functions is given. We also promote a combinatorial program that enumerates possible topological types of non-discriminant morsifications of isolated real function singularities and provides a strong invariant of components of complements of discriminant varieties.

Keywords

Cite

@article{arxiv.2208.10929,
  title  = {Complements of discriminants of real parabolic function singularities},
  author = {V. A. Vassiliev},
  journal= {arXiv preprint arXiv:2208.10929},
  year   = {2023}
}