No. 18

This beautiful sextic was constructed by G. Humbert in 1896 (cf. Sur une surface du sixieme ordre liee aux fonctions abeliennes de genre 3. J. de Mathem., 2e serie, t III (1896), collected papers vol. 2, p. 269-296). Its description and equation has kindly been communicated to me by W. Barth for this advent calendar.

Humbert's surface has the 16 nodes of the Kummer surface (that was used to construct it) as nodes and in addition a triple point at the point (1:1:1:1).

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