Bifurcation points of non-tame polynomial functions and perverse sheaves

Mihai Tibar (1) , Kiyoshi Takeuchi (2)

1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 Institute of Mathematics, University of Tsukuba

We characterize bifurcation points of non-tame 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 Nemethi-Zaharia in some cases.

Domaines: Mathématiques [math]; Géométrie algébrique [math.AG]

Mihai Tibar, Kiyoshi Takeuchi. Bifurcation points of non-tame polynomial functions and perverse sheaves. 2014. ⟨hal-01171626⟩