Bifurcation values of polynomial functions and perverse sheaves
Algebraic Geometry
2019-03-13 v4
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 N\'emethi-Zaharia in many cases.
Keywords
Cite
@article{arxiv.1401.0762,
title = {Bifurcation values of polynomial functions and perverse sheaves},
author = {Kiyoshi Takeuchi},
journal= {arXiv preprint arXiv:1401.0762},
year = {2019}
}
Comments
19 pages, to appear in Annales de l'Institut Fourier