On Lubin-Tate regulator maps and Kato's explicit reciprocity law
Number Theory
2024-12-18 v1
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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Cite
@article{arxiv.2412.12429,
title = {On Lubin-Tate regulator maps and Kato's explicit reciprocity law},
author = {Takamichi Sano and Otmar Venjakob},
journal= {arXiv preprint arXiv:2412.12429},
year = {2024}
}
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47 pages