15 citations · 16 across the 5 of their papers we have counts for
5 papers
Bifurcations of polynomial maps with diffeomorphic and connected fibers
Cezar Joiţa, Mihai Tibăr
We show the existence of polynomial maps which have a regular bifurcation value, while over a neighbourhood of this value the fibres are connected and diffeomorphic.
Euclidean distance discriminants and Morse attractors
Cezar Joiţa, Dirk Siersma, Mihai Tibăr
Our study concerns the Euclidean distance function in case of complex plane curves. We decompose the ED discriminant into components which are responsible for three types of behavi…
Deformations with fibre constancy
Ying Chen, Cezar Joiţa, Mihai Tibăr
For studying the local topology of maps, one uses deformations which split the singularities into simpler ones while preserving the general fibres. We give conditions under which s…
The image complexity of an analytic map germ
Cezar Joiţa, Mihai Tibăr
The image of a holomorphic map germ is not necessarily locally open, and it is not always well-defined as a set germ. We find the structure of what becomes the image of a map germ…
Images of analytic map germs, and singular fibrations
Cezar Joiţa, Mihai Tibăr
For a map germ with target or with , we address two phenomena which do not occur when : the image of may be not well-…