A 2-adic control theorem for modular curves

preprint2015arXivOpen access

We study the behaviour of ordinary parts of the homology modules of modular curves, associated to a decreasing sequence of congruence subgroups $Γ_1(N2^r)$ for $r \geq 2$ , and prove a control theorem for these homology modules.

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A 2-adic control theorem for modular curves

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