For odd total singularity strength an exact algebraic-degree counting formula for solutions is proved via generalized Lamé monodromy; for even strength the existence of parametrizing generalized Lamé curves is proposed.
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Algebraic methods in periodic singular Liouville equations
For odd total singularity strength an exact algebraic-degree counting formula for solutions is proved via generalized Lamé monodromy; for even strength the existence of parametrizing generalized Lamé curves is proposed.