Geodesic
Visibility of the Shafarevich-Tate group at higher level
Documenta mathematica, Tome 12 (2007), pp. 673-696
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We study visibility of Shafarevich–Tate groups of modular abelian varieties in Jacobians of modular curves of higher level. We prove a theorem about the existence of visible elements at a specific higher level under certain hypothesis which can be verified explicitly. We also provide a table of examples of visible subgroups at higher level and state a conjecture inspired by our data.
DOI : 10.4171/dm/238
Classification : 11G05, 11G10, 11G18, 11Y40
Mots-clés : abelian varieties, elliptic curves, Mordell-Weil groups, Shafarevich-Tate groups, visibility 
@article{10_4171_dm_238,
     author = {Dimitar P. Jetchev and William A. Stein},
     title = {Visibility of the {Shafarevich-Tate} group at higher level},
     journal = {Documenta mathematica},
     pages = {673--696},
     year = {2007},
     volume = {12},
     doi = {10.4171/dm/238},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/238/}
}
TY  - JOUR
AU  - Dimitar P. Jetchev
AU  - William A. Stein
TI  - Visibility of the Shafarevich-Tate group at higher level
JO  - Documenta mathematica
PY  - 2007
SP  - 673
EP  - 696
VL  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/238/
DO  - 10.4171/dm/238
ID  - 10_4171_dm_238
ER  - 
%0 Journal Article
%A Dimitar P. Jetchev
%A William A. Stein
%T Visibility of the Shafarevich-Tate group at higher level
%J Documenta mathematica
%D 2007
%P 673-696
%V 12
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/238/
%R 10.4171/dm/238
%F 10_4171_dm_238
Dimitar P. Jetchev; William A. Stein. Visibility of the Shafarevich-Tate group at higher level. Documenta mathematica, Tome 12 (2007), pp. 673-696. doi: 10.4171/dm/238

Cité par Sources :