English

Complements of caustics of the real $J_{10}$ singularities

Algebraic Geometry 2026-04-27 v5

Abstract

The complete list of connected components of the set of Morse functions in the deformations of function singularities of class J10J_{10} is given. Thus, the isotopy classification of Morse perturbations of parabolic real function singularities is finished.

Keywords

Cite

@article{arxiv.2510.03883,
  title  = {Complements of caustics of the real $J_{10}$ singularities},
  author = {V. A. Vassiliev},
  journal= {arXiv preprint arXiv:2510.03883},
  year   = {2026}
}

Comments

arXiv admin note: text overlap with arXiv:2311.11113