Singularities at in nity and their vanishing cycles II Monodromy
نویسنده
چکیده
Let f C n C be any polynomial function By using global polar methods we introduce models for the bers of f and we study the monodromy at atypical values of f including the value in nity We construct a geometric monodromy with controlled behavior and de ne global relative monodromy with respect to a general linear form We prove localization results for the relative monodromy and derive a zeta function formula for the monodromy around an atypical value We compute the relative zeta function in several cases and emphasize the di erences to the classical local situation key words topology of polynomial functions singularities at in nity relative monodromy
منابع مشابه
MONODROMY AT INFINITY AND FOURIER TRANSFORM II by
— For a regular twistor D-module and for a given function f , we compare the nearby cycles at f =∞ and the nearby or vanishing cycles at τ = 0 for its partial Fourier-Laplace transform relative to the kernel e−τf .
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