Orders of branch points of complete diagonals for Laurent series of rational functions of two variables
Year: 2025
Type: article
Abstract: A rational function of two complex variables and all its Laurent expansions centered at an origin are considered. It is known that the complete diagonal of such an expansion is an algebraic function. The order of a branch point of the diagonal by means of the logarithmic Gauss mapping of a polar curve of the rational function is described.
Source: Russian Mathematics
Author: D. Yu. Pochekutov
Institution: Siberian Federal University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415079994