Singularities of projections of full intersections

On the classification of complex multi-germs of corank one and codimension one

“…The approaches from there and [2] can be combined to give a more explicit classification of A e -codimension 1 multi-germs, n ≥ p, with the branches having the K -type of simple hypersurface singularities. Since by [6] all corank 1 singularities in the nice dimensions with n ≥ p have branches of this type we recover the n ≥ p classification in [2].…”

“…Examples of A e -codimension 1 maps are found in low dimensional classifications, for example [13], and some general classifications of simple singularities, such as [6]. But until recently there have been few general classifications of the class itself.…”

Grafos de aplicações estáveis de 3-variedades fechadas no R3

“…Agora se f e h não são A−equivalentes, então necessariamente existe pelo menos um t 0 ∈ [a, b] tal que F t 0 ∈ ∆. As aplicações em E(M, IR 3 ) tem codimenção zero dentro do espaço C ∞ (M, R 3 ) e o conjunto discriminante ∆é formado pelas aplicações não estáveis de codimensão maior ou igual a 1 (ver [2]). A Figura 2 ilustra algumas das transições de codimensão 1, listadas por Goryunov [2].…”

On Singularities of Folding Maps and Augmentations

“…This notion was introduced by Goryunov in [6] and used by Cooper in [3] when f is of a e -codimension one, F is the a e -versal unfolding of f and gz z 2 . Augmentations formed an essential part of his classi¢cation of a e -codimension one map germs.…”