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Milnor fibers over singular toric varieties and nearby cycle sheaves · arXivDesk

0809.3148Sep 18, 200828pages; 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

Milnor fibers over singular toric varieties and nearby cycle sheaves

Yutaka Matsui, Kiyoshi Takeuchi

Algebraic Geometry

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 ⁿ will be generalized to polynomial functions on any toric variety.

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