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math.NT2018
On the Iwasawa main conjectures for modular forms at non-ordinary primes
Francesc Castella, Mirela Çiperiani, Christopher Skinner +1
In this paper, we prove under mild hypotheses the Iwasawa main conjectures of Lei--Loeffler--Zerbes for modular forms of weight at non-ordinary primes. Our proof is based on th…
math.NT2018
A Homological Definition for the Tate--Shafarevich Group of a Pell Conic
Roy Zhao
Franz Lemmermeyer's previous work laid the framework for a description of the arithmetic of Pell conics, which is analogous to that of elliptic curves. He describes a group law on…