English

Bifurcations of polynomial maps with diffeomorphic and connected fibers

Algebraic Geometry 2025-07-29 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2507.20269,
  title  = {Bifurcations of polynomial maps with diffeomorphic and connected fibers},
  author = {Cezar Joiţa and Mihai Tibăr},
  journal= {arXiv preprint arXiv:2507.20269},
  year   = {2025}
}