A generalization of Zakalyukin's lemma, and symmetries of surface singularities
Journal of Singularities, Tome 25 (2022), pp. 299-324
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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.
@article{10_5427_jsing_2022_25m,
author = {Atsufumi Honda and Kosuke Naokawa and Kentaro Saji and Masaaki Umehara, and Kotaro Yamada},
title = {A generalization of {Zakalyukin's} lemma, and symmetries of surface singularities},
journal = {Journal of Singularities},
pages = {299--324},
publisher = {mathdoc},
volume = {25},
year = {2022},
doi = {10.5427/jsing.2022.25m},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25m/}
}
TY - JOUR AU - Atsufumi Honda AU - Kosuke Naokawa AU - Kentaro Saji AU - Masaaki Umehara, AU - Kotaro Yamada TI - A generalization of Zakalyukin's lemma, and symmetries of surface singularities JO - Journal of Singularities PY - 2022 SP - 299 EP - 324 VL - 25 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25m/ DO - 10.5427/jsing.2022.25m ID - 10_5427_jsing_2022_25m ER -
%0 Journal Article %A Atsufumi Honda %A Kosuke Naokawa %A Kentaro Saji %A Masaaki Umehara, %A Kotaro Yamada %T A generalization of Zakalyukin's lemma, and symmetries of surface singularities %J Journal of Singularities %D 2022 %P 299-324 %V 25 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25m/ %R 10.5427/jsing.2022.25m %F 10_5427_jsing_2022_25m
Atsufumi Honda; Kosuke Naokawa; Kentaro Saji; Masaaki Umehara,; Kotaro Yamada. A generalization of Zakalyukin's lemma, and symmetries of surface singularities. Journal of Singularities, Tome 25 (2022), pp. 299-324. doi: 10.5427/jsing.2022.25m
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