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math.AG2025
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.
math.AG2024
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…
math.AG2024★ 1 cited
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…