A little scholium on Hilbert-Rohn via the total reality of $M$-curves: Riemann's flirt with Miss Ragsdale

Alexandre Gabard

This note presents an elementary proof of Hilbert's 1891 Ansatz of nesting for $M$-sextics, along the line of Riemann's Nachlass 1857 and a simple Harnack-style argument (1876). Ou…