Orders of Branch Points of Complete Diagonals for Laurent Series of Rational Functions of Two Variables

Key Points

• The order of a branch point describes the structure of the complete diagonal in the Laurent series.
• Key evidence indicates that branch points arise from the logarithmic Gauss mapping of polar curves.
• Assessment involves analyzing rational functions of two complex variables and their Laurent expansions at the origin.
• This finding highlights the algebraic nature of the complete diagonal, suggesting deeper connections in function theory.