32 citations · 114 across the 45 of their papers we have counts for
46 papers
Deformations of swallowtails in a 3-dimensional space form
Kentaro Saji, Masaaki Umehara, Kotaro Yamada
This is a continuation of the authors' earlier work on deformations of cuspidal edges. We give a representation formula for swallowtails in the Euclidean 3-space. Using this, we in…
Boundedness of geometric invariants near a singularity which is a suspension of a singular curve
Luciana F. Martins, Kentaro Saji, Samuel P. dos Santos +1
Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of diverge, in particular the boundedness about these invariants represent ge…
Contact cylindrical surfaces and a projection of a surface around a parabolic point
Masaru Hasegawa, Yutaro Kabata, Kentaro Saji
We investigate differential geometric properties of a parabolic point of a surface in the Euclidean three space. We introduce the contact cylindrical surface which is a cylindrical…
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…
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…
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…