2 papers
math.DG2024
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…
math.DG2024
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…