4 papers
Euclidean distance discriminants and Morse attractors
Cezar JoiÅ£a, Dirk Siersma, Mihai TibÄr
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…
Bifurcations of polynomial maps with diffeomorphic and connected fibers
Cezar JoiÅ£a, Mihai TibÄr
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.
Deformations with fibre constancy
Ying Chen, Cezar JoiÅ£a, Mihai TibÄr
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 JoiÅ£a, Mihai TibÄr
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…