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math.DG2021
Symmetries of cross caps
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
It is well-known that cross caps on surfaces in the Euclidean 3-space can be expressed in Bruce-West's normal form, which is a special local coordinate system centered at the singu…
math.DG2021
A generalization of Zakalyukin's lemma, and symmetries of surface singularities
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji +2
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…
math.DG2021
Geometry of bifurcation sets of generic unfoldings of corank two functions
Kentaro Saji, Samuel P. dos Santos
We study the geometry of bifurcation sets of generic unfoldings of -functions. Taking blow-ups, we show each of the bifurcation sets of -functions admit a paramet…