Non-smooth Dubrovin-Natanzon divisors on Schubert-cell MM-curves involve only pair blow-ups along edges or triple blow-ups at black trivalent vertices.
Real regular KP divisors on M-curves and totally non-negative Grassmannians
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Dubrovin-Natanzon divisors on MM-curves
Non-smooth Dubrovin-Natanzon divisors on Schubert-cell MM-curves involve only pair blow-ups along edges or triple blow-ups at black trivalent vertices.