Abstract
The (pro) \(\Lambda \)-MW group is a projective limit of Mordell–Weil groups over a number field k (made out of modular Jacobians) with an action of the Iwasawa algebra and the “big” Hecke algebra. We prove a control theorem of the ordinary part of the \(\Lambda \)-MW groups under mild assumptions. We have proven a similar control theorem for the dual completed inductive limit in [21].
To John Coates
The author is partially supported by the NSF grants: DMS 0753991 and DMS 1464106.
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Hida, H. (2016). Control of \(\Lambda \)-adic Mordell–Weil Groups. In: Loeffler, D., Zerbes, S. (eds) Elliptic Curves, Modular Forms and Iwasawa Theory. JHC70 2015. Springer Proceedings in Mathematics & Statistics, vol 188. Springer, Cham. https://doi.org/10.1007/978-3-319-45032-2_7
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