Geodesic
Minimal morsifications for functions of two real variables
Čebyševskij sbornik, Tome 21 (2020) no. 1, pp. 381-387

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In this paper we give an explicit construction of morsifications with the smallest topologically possible number of real critical points for functions of two variables with smooth level-set branches, as well as for semiquasihomogenous functions of two real variables.
Keywords: curve singularities, deformations of singularities, real curves, semiquasihomogenous functions. 
@article{CHEB_2020_21_1_a26,
     author = {I. A. Proskurnin},
     title = {Minimal morsifications for functions of two real variables},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {381--387},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_1_a26/}
}
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I. A. Proskurnin. Minimal morsifications for functions of two real variables. Čebyševskij sbornik, Tome 21 (2020) no. 1, pp. 381-387. http://geodesic.mathdoc.fr/item/CHEB_2020_21_1_a26/