A generalization of zakalyukin's lemma, and symmetries of surface singularities
JOURNAL OF SINGULARITIES(2022)
Abstract
Zakalyukin's lemma asserts that the coincidence of the images of two wave front germs implies the right equivalence of corresponding map germs under a certain genericity assumption. The purpose of this paper is to give an improvement of this lemma for frontals. Moreover, we give several applications for singularities on surfaces.
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Key words
singularity,wave front,cuspidal edge,first fundamental form
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