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math.NT2019
On anticyclotomic variants of the -adic Birch and Swinnerton-Dyer conjecture
Adebisi Agboola, Francesc Castella
We formulate analogues of the Birch and Swinnerton-Dyer conjecture for the -adic -functions of Bertolini-Darmon-Prasanna attached to elliptic curves at primes…
math.NT2019
A proof of Perrin-Riou's Heegner point main conjecture
Ashay Burungale, Francesc Castella, Chan-Ho Kim
Let be an elliptic curve of conductor , let be a prime where has good ordinary reduction, and let be an imaginary quadratic field satisfying the Hee…