On the structure of signed Selmer groups
On the structure of signed Selmer groups
Let F be a number field unramified at an odd prime p and $$F_\infty $$ be the $$\mathbf {Z}_p$$-cyclotomic extension of F. Generalizing Kobayashi plus/minus Selmer groups for elliptic curves, Büyükboduk and Lei have defined modified Selmer groups, called signed Selmer groups, for certain non-ordinary $${{\,\mathrm{Gal}\,}}(\overline{F}/F)$$-representations. In particular, their construction …