Bifurcation values of polynomial functions and perverse sheaves

Published 4 Jan 2014 in math.AG | (1401.0762v4)

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

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