Milnor fibers over singular toric varieties and nearby cycle sheaves

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We propose a new sheaf-theoretical method for the calculation of the monodromy zeta functions of Milnor fibrations. As an application, classical formulas of Kushnirenko and Varchenko etc. concerning polynomials on $\CC^n$ will be generalized to polynomial functions on any toric variety.
28pages; Chapter 4 of the previous version of "A geometric degree formula for $A$-discriminants and Euler obstructions of toric varieties" (arXiv:0807.3163) became an independent paper; Revised

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