Combinatorial study of morsifications of real univariate singularities

Author:

Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu-Pampu, Miruna-Stefana Sorea

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Combinatorics (math.CO)

journal:

date:

2023-06-06 16:00:00

Abstract

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.

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