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arXiv · 1401.0762

Bifurcation values of polynomial functions and perverse sheaves

Kiyoshi Takeuchi
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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.

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Kiyoshi Takeuchi. 2014-01-04. Bifurcation values of polynomial functions and perverse sheaves. https://arxiv.org/abs/1401.0762

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