Geodesic
Weierstrass points on rational nodal curves
Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 131-140

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

C. Widland [14] has defined Weierstrass points on integral, projective Gorenstein curves. We show here that the Weierstrass points on a generic integral rational nodal curve have the minimal possible weights or, equivalently, that such a curve has the maximum possible number of distinct nonsingular Weierstrass points. Rational curves with g nodes arise in degeneration arguments involving smooth curves of genus g and they have also recently arisen in connection with g-soliton solutions to certain nonlinear partial differential equations [11], [13]. 
Lax, R. F. Weierstrass points on rational nodal curves. Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 131-140. doi: 10.1017/S0017089500006741
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