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arXiv · 2104.03505

A generalization of Zakalyukin's lemma, and symmetries of surface singularities

Atsufumi Honda·Kosuke Naokawa·Kentaro Saji·Masaaki Umehara·Kotaro Yamada
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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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Atsufumi Honda, Kosuke Naokawa, Kentaro Saji, Masaaki Umehara, Kotaro Yamada. 2021-04-08. A generalization of Zakalyukin's lemma, and symmetries of surface singularities. https://arxiv.org/abs/2104.03505

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