Bifurcation values of polynomial functions and perverse sheaves
classification
🧮 math.AG
keywords
bifurcationfunctionsperversepolynomialsheavesvaluescasescharacteristics
read the original 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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