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

DOI

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
@article{10_4153_CMB_1990_031_7,
     author = {Little, John B.},
     title = {Distribution of {Weierstrass} {Points} on {Rational} {Cuspidal} {Curves}},
     journal = {Canadian mathematical bulletin},
     pages = {184--189},
     year = {1990},
     volume = {33},
     number = {2},
     doi = {10.4153/CMB-1990-031-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-031-7/}
}
TY  - JOUR
AU  - Little, John B.
TI  - Distribution of Weierstrass Points on Rational Cuspidal Curves
JO  - Canadian mathematical bulletin
PY  - 1990
SP  - 184
EP  - 189
VL  - 33
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-031-7/
DO  - 10.4153/CMB-1990-031-7
ID  - 10_4153_CMB_1990_031_7
ER  - 
%0 Journal Article
%A Little, John B.
%T Distribution of Weierstrass Points on Rational Cuspidal Curves
%J Canadian mathematical bulletin
%D 1990
%P 184-189
%V 33
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-031-7/
%R 10.4153/CMB-1990-031-7
%F 10_4153_CMB_1990_031_7

Cité par Sources :