8 citations · 13 across the 7 of their papers we have counts for
7 papers
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…
On the analytic structure of double and triple points in the target of finite holomorphic multi-germs
Juan J. Nuño-Ballesteros, Guillermo Peñafort Sanchis, Cinzia Villa
We study the analytic structure of the double and triple point spaces and of finite multi-germs , based on results of Mond a…
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…
Metrically un-knotted corank 1 singularities of surfaces in
Lev Birbrair, Rodrigo Mendes, Juan Jose Nuño-Ballesteros
The paper is devoted to relations between topological and metric properties of germs of real surfaces, obtained by analytic maps from to . We show that for a big class o…
Liftable vector fields, unfoldings and augmentations
Juan José Nuño Ballesteros, Raúl Oset Sinha
We study liftable vector fields of smooth map-germs. We show how to obtain the module of liftable vector fields of any map-germ of finite singularity type from the module of liftab…
Multiple point spaces of finite holomorphic maps
J. J. Nuño-Ballesteros, G. Peñafort-Sanchis
We show that there exists a unique possible definition, with certain natural properties, of the multiple point space of a holomorphic map between complex manifolds. Our constructio…
Affine metrics of locally strictly convex surfaces in affine 4-space
Juan J. Nuño Ballesteros, Luis Sánchez
We introduce a new family of affine metrics on a locally strictly convex surface in affine 4-space. Then, we define the symmetric and antisymmetric equiaffine planes associated…