Generalizing work of Kobayashi, Büyükboduk and Lei have defined modified Selmer groups along the Zp-cyclotomic extension for abelian varieties with good supersingular reduction. We will discuss congruence properties for these Selmer groups.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/5312