Milnor fibers over singular toric varieties and nearby cycle sheaves

Abstract

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

References in corpus (1)

• Combinatorial aspects of the mixed Hodge structure

Cited by in corpus (3)

• Coefficients of the poles of local zeta functions and their applications to oscillating integrals
• Monodromy at infinity of $A$-hypergeometric functions and toric compactifications
• A geometric degree formula for $A$-discriminants and Euler obstructions of toric varieties