Tate-Shafarevich groups over anticyclotomic Z p extensions
Ciperiani, M (Columbia)
Friday 31 July 2009, 11:30-12:30
Seminar Room 1, Newton Institute
Abstract
Let E be an elliptic curve over Q with supersingular reduction at p and K an imaginary quadratic extension of Q. We analyze the structure of the p-primary part of the Tate-Shafarevich group of E over the anticyclotomic Z_p-extension K_\infty/K by viewing it as a module over Z_p[Gal(K_\infty/K)].
