Combinatorial study of morsifications of real univariate singularities. arXiv:2306.04601
Preprint, arXiv:2306.04601 [math.AG] (2023).
Summary: We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contact trees constructed from Newton-Puiseux roots of the polar curves of the morsifications.
MSC:
| 26C05 | Real polynomials: analytic properties, etc. |
| 05E14 | Combinatorial aspects of algebraic geometry |
| 58K05 | Critical points of functions and mappings on manifolds |
| 14P25 | Topology of real algebraic varieties |
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