A two-variable Iwasawa main conjecture over the eigencurve
نویسنده
چکیده
Fix an odd prime p, an algebraic closure Qp, and an isomorphism C ∼ → Qp. Fix an integer N ≥ 1 prime to p, and let T be the polynomial algebra over Z generated by the operators T!, ! ! Np, Up and 〈d〉 , d ∈ (Z/NZ). Set W = Spf(Zp[[Zp ]]), and let W = W rig be the rigid analytic space of characters of Zp together with its universal character χW : Z × p → O(W ) ; we embed Z in W (Qp) by mapping k to the character t &→ tk−2. For any λ ∈ W (Qp) we (slightly abusively) write M † λ(Γ1(N)) ⊂ Qp[[q]]
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