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arXiv · 2405.16638

Parametrization of Formal Norm Compatible Sequences

Joseph DiCapua·Victor Kolyvagin
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Abstract

We give a classification of power series parametrizing Lubin-Tate trace compatible sequences. This proof answers a question posed in the literature by Berger and Fourquaux. Lubin-Tate trace compatible sequences are a generalization of norm compatible sequences, which arise in Iwasawa theory and local class field theory. The result we prove generalizes the interpolation theorem proved by Coleman in the classical norm compatible sequence case. We also, jointly with Victor Kolyvagin, give a method for finding such series explicitly in certain special cases.

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Joseph DiCapua, Victor Kolyvagin. 2024-05-26. Parametrization of Formal Norm Compatible Sequences. https://arxiv.org/abs/2405.16638

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