Geodesic
Distribution of Weierstrass Points on Rational Cuspidal Curves
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 184-189

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

We study the set W(L) of Weierstrass points of all positive tensor powers of an invertible sheaf L on an irreducible rational curve X with g ≧ 2 ordinary cusps. Using an idea from B. Olsen's study of the analogous question on smooth curves, and an explicit formula for the "theta function" of a cuspidal rational curve, we show that W(L) is never dense on X (in contrast to the case of smooth curves of genus g ≧ 2).
DOI : 10.4153/CMB-1990-031-7
Mots-clés : 14F07, 14H20, 14H40 
Little, John B. Distribution of Weierstrass Points on Rational Cuspidal Curves. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 184-189. doi: 10.4153/CMB-1990-031-7
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