Bifurcation values of polynomial functions and perverse sheaves
arXiv:1401.0762
Abstract
We characterize bifurcation values of polynomial functions by using the theory of perverse sheaves and their vanishing cycles. In particular, by introducing a method to compute the jumps of the Euler characteristics with compact support of their fibers, we confirm the conjecture of Némethi-Zaharia in many cases.
19 pages, to appear in Annales de l'Institut Fourier