Milnor fibers over singular toric varieties and nearby cycle sheaves

Mathematics – Algebraic Geometry

Scientific paper

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28pages; Chapter 4 of the previous version of "A geometric degree formula for $A$-discriminants and Euler obstructions of tori

Scientific paper

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.

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