Tate–Shafarevich groups in anticyclotomic p-extensions at supersingular primes
نویسنده
چکیده
Let E/Q be an elliptic curve and p a prime of supersingular reduction for E. Denote by K∞ the anticyclotomic Zp-extension of an imaginary quadratic field K which satisfies the Heegner hypothesis. Assuming that p splits in K/Q, we prove that X(K∞, E)p∞ has trivial Λ-corank and, in the process, also show that HSel(K∞, Ep∞) and E(K∞)⊗Qp/Zp both have Λ-corank two.
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