The complete diagonal of the Laurent series of a nondegenerate rational function admits analytic continuation in the complex torus except along the Landau variety built from face discriminants of the Newton polyhedron.
Pham.Singularities of integrals
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Singularities of diagonals of Laurent series for rational functions
The complete diagonal of the Laurent series of a nondegenerate rational function admits analytic continuation in the complex torus except along the Landau variety built from face discriminants of the Newton polyhedron.