Gamma functions, monodromy and Frobenius constants

The Frobenius and Monodromy Operators for Curves and Abelian Varieties

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I. Definitions of the operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. Definitions of N and F for curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1. The monodromy ope...

Twisted L-Functions and Monodromy

Monodromy of A-hypergeometric functions

Using Mellin-Barnes integrals we give a method to compute a relevant subgroup of the monodromy group of an A-hypergeometric system of differential equations. Presumably this group is the full monodromy group of the system

Topology of polynomial functions and monodromy dynamics

Let f : C n ! C be a polynomial function. We deene global polar invariants associated to bres of f and we describe a CW-complex model of a bre. We show how to use aane polar curves in order to study the monodromy around atypical values of f, including the value innnity. We give a zeta-function formula for such a monodromy. Topologie des fonctions polynomiales et dynamique mono-dromique R esum e...

L-functions and monodromy: four lectures on Weil II-1 L-functions and monodromy: four lectures on Weil II

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