4 papers
Counting singularities in the image of a wave front
C. Muñoz-Cabello, J. J. Nuño-Ballesteros, R. Oset Sinha
We give a formula to count the number of singularities in a stable frontal perturbation of a corank wave front singularity …
A proof of the Mond conjecture for wave fronts
C. Muñoz-Cabello, J. J. Nuño-Ballesteros, R. Oset Sinha
We prove the Mond conjecture for wave fronts which states that the number of parameters of a frontal versal unfolding is less than or equal to the number of spheres in the image of…
Deformations of corank frontals
C. Muñoz-Cabello, J. J. Nuño-Ballesteros, R. Oset Sinha
We develop a Thom-Mather theory of frontals analogous to Ishikawa's theory of deformations of Legendrian singularities but at the frontal level, avoiding the use of the contact set…
Singularities of Frontal Surfaces
C. Muñoz-Cabello, J. J. Nuño-Ballesteros, R. Oset Sinha
We consider singularities of frontal surfaces of corank one and finite frontal codimension. We look at the classification under left-right-equivalence and introduce the notion of f…