Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over ℚ
Delaunay, Christophe
Experiment. Math., Tome 10 (2001) no. 3, p. 191-196 / Harvested from Project Euclid
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In a well-known paper, Cohen and Lenstra gave conjectures on class groups of number fields. We give here similar conjectures for Tate-Shafarevitch groups of elliptic curves defined over ℚ. For such groups (if they are finite), there exists a nondegenerate, alternating, bilinear pairing. We give some properties of such groups and then formulate heuristics which allow us to give precise conjectures.
Publié le : 2001-05-14
Classification:  
@article{999188631,
     author = {Delaunay, Christophe},
     title = {Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over $\mathbb{Q}$},
     journal = {Experiment. Math.},
     volume = {10},
     number = {3},
     year = {2001},
     pages = { 191-196},
     language = {en},
     url = {http://dml.mathdoc.fr/item/999188631}
}

Delaunay, Christophe. Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over ℚ. Experiment. Math., Tome 10 (2001) no. 3, pp.  191-196. http://gdmltest.u-ga.fr/item/999188631/