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arXiv:2104.03505 [math.DG]AbstractReferencesReviewsResources

Symmetries of singularities on surfaces

Atsufumi Honda, Kosuke Naokawa, Kentaro Saji, Masaaki Umehara, Kotaro Yamada

Published 2021-04-08Version 1

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.

Comments: 25 pages, 3 figures
Categories: math.DG
Subjects: 53A10, 53A35, 53C42, 33C05
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