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Monodromy at infinity and Fourier transform. II. (English) Zbl 1259.14008
Summary: For a regular twistor $$D$$-module and for a given function $$f$$, we compare the nearby cycles at $$f = \infty$$ and the nearby or vanishing cycles at $$\tau = 0$$ for its partial Fourier-Laplace transform relative to the kernel $$e^{-\tau f}$$.
Part I see Publ. Res. Inst. Math. Sci. 33, No. 4, 643–685 (1997; Zbl 0920.14003).

##### MSC:
 14D07 Variation of Hodge structures (algebro-geometric aspects) 32S40 Monodromy; relations with differential equations and $$D$$-modules (complex-analytic aspects)
##### Keywords:
Twistor D-module; Fourier-Laplace transform; specialization
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##### References:
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