Finding large Selmer Groups
Mazur, Barry ; Rubin, Karl
J. Differential Geom., Tome 69 (2005) no. 3, p. 1-22 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper, we show how to use a recent theorem of Nekovář [12] to produce families of examples of elliptic curves over number fields whose p-power Selmer groups grow systematically in Zpd-extensions. We give a somewhat different exposition and proof of Nekovář's theorem, and we show in many cases how to replace the fundamental requirement that the elliptic curve has odd p-Selmer rank by a root number calculation.
Publié le : 2005-05-14
Classification:  
@article{1143572012,
     author = {Mazur, Barry and Rubin, Karl},
     title = {Finding large Selmer Groups},
     journal = {J. Differential Geom.},
     volume = {69},
     number = {3},
     year = {2005},
     pages = { 1-22},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143572012}
}

Mazur, Barry; Rubin, Karl. Finding large Selmer Groups. J. Differential Geom., Tome 69 (2005) no. 3, pp.  1-22. http://gdmltest.u-ga.fr/item/1143572012/