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arXiv · 2412.12429

On Lubin-Tate regulator maps and Kato's explicit reciprocity law

Takamichi Sano·Otmar Venjakob
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Abstract

We extend the interpolation property of the Lubin-Tate regulator map from [SV24] to Artin characters and show a reciprocity law in the sense of Cherbonnier-Colmez. This allows us to provide a new proof of Kato's explicit reciprocity law for Lubin-Tate formal groups.

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Takamichi Sano, Otmar Venjakob. 2024-12-17. On Lubin-Tate regulator maps and Kato's explicit reciprocity law. https://arxiv.org/abs/2412.12429

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