Geodesic
Three Plane Sextics and their Automorphisms
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1263-1278

Voir la notice de l'article provenant de la source Cambridge University Press

1. The sextics of the title have five cusps and are particular examples of the curve encountered by Humbert (5). The claim to notoriety of Humbert's curve of genus 5 has been that all its abelian integrals of the first kind are linear combinations of five elliptic integrals; it also has (1) the striking property that its 120 Weierstrassian points are confluent in threes at only 40 distinct points; whereas a general curve of genus 5 has, after Riemann, 12 moduli, a Humbert curve has merely 2. The three curves to be studied now have no free moduli at all, but although this tempts one to construct period matrices, such transcendental topics will not be handled here. 
Edge, W. L. Three Plane Sextics and their Automorphisms. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1263-1278. doi: 10.4153/CJM-1969-139-6
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