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math.NT2018
Structure of ordinary -adic arithmetic cohomology groups
Jaehoon Lee
We study the -module structure of the ordinary parts of the arithmetic cohomology groups of modular Jacobians made out of various towers of modular curves. We prove that the ord…
math.NT2018★ 1 cited
Structure of Mordell-Weil groups over \mathbb{Z}_p-extensions
Jaehoon Lee
We study the Λ-module structure of the Mordell-Weil, Selmer, and Tate-Shafarevich groups of an abelian variety over \mathbb{Z}_p-extensions.