Freeness of $p$-adically Completed Modular Jacobians over a Hecke Algebra

John Yu

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arXiv · 1904.05942

Freeness of $p$-adically Completed Modular Jacobians over a Hecke Algebra

John Yu

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Abstract

We construct a Taylor-Wiles system using a family of $p$-adically completed modular Jacobians over suitable Hecke algebras and prove that certain $p$-adically completed Mordell-Weil groups of these Jacobians is free of finite rank over a Hecke algebra.

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John Yu. 2019-04-11. Freeness of $p$-adically Completed Modular Jacobians over a Hecke Algebra. https://arxiv.org/abs/1904.05942

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