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.
Orders of branch points of complete diagonals for Laurent series of rational functions of two variables
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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.